Slope Intercept Form: Graph an Equation 2

Topics

Try VividMath Premium to unlock full access

Start Free Trial

Lets see your results!

Points

Score

Time

Retry Quiz

Answered
Review

Question 1 of 8

1. Question
Graph $y = \frac{3}{4} x - 3$ $y=3/4x-3$
- 1.
- 2.
- 3.
- 4.
Correct

Keep Going!
Incorrect
Gradient Intercept Form: $y = m x + b$ $y=mx+b$

$m$ $m$ is the gradient of the line

$b$ $b$ is the y-intercept (where the line cuts the y-axis)

For: $y = \frac{3}{4} x - 3$ $y=3/4x-3$

The gradient $(m)$ $(m)$ is $\frac{3}{4}$ $3/4$ and the y-intercept $(b)$ $(b)$ is $- 3$ $-3$ .

First, plot the y-intercept $(- 3)$ $(-3)$

Use the gradient $m = \frac{3}{4}$ $m=3/4$ to plot the next point.

The gradient is equivalent to the rise over the run.

$\frac{rise}{run} = \frac{3}{4}$ $(color(darkviolet)(text(rise)))/(color(forestgreen)(text(run)))=(color(darkviolet)(3))/(color(forestgreen)(4))$

From the y-intercept rise $3$ $3$ units, then run $4$ $4$ units to the right

Now we can graph the equation
Question 2 of 8

2. Question
Graph $y = - \frac{1}{4} x + 3$ $y=-1/4x+3$
- 1.
- 2.
- 3.
- 4.
Correct

Keep Going!
Incorrect
Gradient Intercept Form: $y = m x + b$ $y=mx+b$

$m$ $m$ is the gradient of the line

$b$ $b$ is the y-intercept (where the line cuts the y-axis)

For: $y = - \frac{1}{4} x + 3$ $y=-1/4x+3$

The gradient $(m)$ $(m)$ is $- \frac{1}{4}$ $-1/4$ and the y-intercept $(b)$ $(b)$ is $3$ $3$ .

First, plot the y-intercept $(3)$ $(3)$

Use the gradient $m = - \frac{1}{4}$ $m=-1/4$ to plot the next point.

The gradient is equivalent to the rise over the run.

$\frac{rise}{run} = \frac{- 1}{4}$ $(color(darkviolet)(text(rise)))/(color(forestgreen)(text(run)))=(color(darkviolet)(-1))/(color(forestgreen)(4))$

From the y-intercept rise $- 1$ $-1$ units, then run $4$ $4$ units to the right

Now we can graph the equation
Question 3 of 8

3. Question
Graph $y = \frac{5}{3} x + 1$ $y=5/3x+1$
- 1.
- 2.
- 3.
- 4.
Correct

Keep Going!
Incorrect
Gradient Intercept Form: $y = m x + b$ $y=mx+b$

$m$ $m$ is the gradient of the line

$b$ $b$ is the y-intercept (where the line cuts the y-axis)

For: $y = \frac{5}{3} x + 1$ $y=5/3x+1$

The gradient $(m)$ $(m)$ is $\frac{5}{3}$ $5/3$ and the y-intercept $(b)$ $(b)$ is $1$ $1$ .

First, plot the y-intercept $(1)$ $(1)$

Use the gradient $m = \frac{5}{3}$ $m=5/3$ to plot the next point.

The gradient is equivalent to the rise over the run.

$\frac{rise}{run} = \frac{5}{3}$ $(color(darkviolet)(text(rise)))/(color(forestgreen)(text(run)))=(color(darkviolet)(5))/(color(forestgreen)(3))$

From the y-intercept rise $5$ $5$ units, then run $3$ $3$ units to the right

Now we can graph the equation
Question 4 of 8

4. Question
Graph $y = - \frac{5}{8} x + 2$ $y=-5/8x+2$
- 1.
- 2.
- 3.
- 4.
Correct

Keep Going!
Incorrect
Gradient Intercept Form: $y = m x + b$ $y=mx+b$

$m$ $m$ is the gradient of the line

$b$ $b$ is the y-intercept (where the line cuts the y-axis)

For: $y = - \frac{5}{8} x + 2$ $y=-5/8x+2$

The gradient $(m)$ $(m)$ is $- \frac{5}{8}$ $-5/8$ and the y-intercept $(b)$ $(b)$ is $2$ $2$ .

First, plot the y-intercept $(2)$ $(2)$

Use the gradient $m = - \frac{5}{8}$ $m=-5/8$ to plot the next point.

The gradient is equivalent to the rise over the run.

$\frac{rise}{run} = \frac{- 5}{8}$ $(color(darkviolet)(text(rise)))/(color(forestgreen)(text(run)))=(color(darkviolet)(-5))/(color(forestgreen)(8))$

From the y-intercept move down $- 5$ $-5$ units, then run $8$ $8$ units to the right

Now we can graph the equation
Question 5 of 8

5. Question
Graph $y = - 3 x + 3$ $y=-3x+3$
- 1.
- 2.
- 3.
- 4.
Correct

Keep Going!
Incorrect
Gradient Intercept Form: $y = m x + b$ $y=mx+b$

$m$ $m$ is the gradient of the line

$b$ $b$ is the y-intercept (where the line cuts the y-axis)

For: $y = - 3 x + 3$ $y=-3x+3$

The gradient $(m)$ $(m)$ is $- 3$ $-3$ and the y-intercept $(b)$ $(b)$ is $3$ $3$ .

First, plot the y-intercept $(3)$ $(3)$

Use the gradient $m = - 3$ $m=-3$ to plot the next point.

The gradient is equivalent to the rise over the run.

$\frac{rise}{run} = \frac{- 3}{1}$ $(color(darkviolet)(text(rise)))/(color(forestgreen)(text(run)))=(color(darkviolet)(-3))/(color(forestgreen)(1))$

From the y-intercept move down $-3$ units, then run $1$ unit to the right

Now we can graph the equation
Question 6 of 8

6. Question
Graph $y=2x-5$
- 1.
- 2.
- 3.
- 4.
Correct

Keep Going!
Incorrect
Gradient Intercept Form: $y=mx+b$

$m$ is the gradient of the line

$b$ is the y-intercept (where the line cuts the y-axis)

For: $y=2x-5$

The gradient $(m)$ is $2$ and the y-intercept $(b)$ is $-5$ .

First, plot the y-intercept $(-5)$

Use the gradient $m=2$ to plot the next point.

The gradient is equivalent to the rise over the run.

$(color(darkviolet)(text(rise)))/(color(forestgreen)(text(run)))=(color(darkviolet)(2))/(color(forestgreen)(1))$

From the y-intercept rise $2$ units, then run $1$ units to the right

Now we can graph the equation
Question 7 of 8

7. Question
Graph $y=4/5x+3$
- 1.
- 2.
- 3.
- 4.
Correct

Keep Going!
Incorrect
Gradient Intercept Form: $y=mx+b$

$m$ is the gradient of the line

$b$ is the y-intercept (where the line cuts the y-axis)

For: $y=4/5x+3$

The gradient $(m)$ is $4/5$ and the y-intercept $(b)$ is $3$ .

First, plot the y-intercept $(3)$

Use the gradient $m=4/5$ to plot the next point.

The gradient is equivalent to the rise over the run.

$(color(darkviolet)(text(rise)))/(color(forestgreen)(text(run)))=(color(darkviolet)(4))/(color(forestgreen)(5))$

From the y-intercept rise $4$ units, then run $5$ units to the right

Now we can graph the equation
Question 8 of 8

8. Question
Graph $y=-3/8x-4$
- 1.
- 2.
- 3.
- 4.
Correct

Keep Going!
Incorrect
Gradient Intercept Form: $y=mx+b$

$m$ is the gradient of the line

$b$ is the y-intercept (where the line cuts the y-axis)

For: $y=-3/8x-4$

The gradient $(m)$ is $-3/8$ and the y-intercept $(b)$ is $-4$ .

First, plot the y-intercept $(-4)$

Use the gradient $m=-3/8$ to plot the next point.

The gradient is equivalent to the rise over the run.

$(color(darkviolet)(text(rise)))/(color(forestgreen)(text(run)))=(color(darkviolet)(-3))/(color(forestgreen)(8))$

From the y-intercept rise $-3$ units, then run $8$ units to the right

Now we can graph the equation