Question

Graph the linear function using the slope and the y-intercept.y = 2x + 7ORUse the graphing tool to graph the linear equation. Use the slope and y-intercept when drawing the lineClick toenlargegraph

Answer 1

Step 1:

Write the slope-intercept form of equation of a line

y = 2x + 7

Step 2:

To graph the linear function using the slope and the y-intercept.

of y = 2x + 7, find find the y-intercept by substituting x = 0

`\begin{gathered} \text{y = 2x + 7} \\ \text{y = 2 }*\text{ 0 + 7} \\ y\text{ = 0 + 7} \\ y-intercept\text{ = 7} \end{gathered}`

Slope m = 2

Step 3

Find the x-intercept by substituting y = 0

`\begin{gathered} \text{y = 2x + 7} \\ 0\text{ = 2x + 7} \\ -7\text{ = 2x} \\ \text{ x = }(-7)/(2) \\ \text{ x = -3.5} \\ x-\text{intercept = -3.5} \end{gathered}`

Step 4

Graph the linear equation using the slope, x and y-intercept