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
[tex]\begin{gathered} \text{y = 2x + 7} \\ \text{y = 2 }\times\text{ 0 + 7} \\ y\text{ = 0 + 7} \\ y-intercept\text{ = 7} \end{gathered}[/tex]
Slope m = 2
Step 3
Find the x-intercept by substituting y = 0
[tex]\begin{gathered} \text{y = 2x + 7} \\ 0\text{ = 2x + 7} \\ -7\text{ = 2x} \\ \text{ x = }\frac{-7}{2} \\ \text{ x = -3.5} \\ x-\text{intercept = -3.5} \end{gathered}[/tex]
Step 4
Graph the linear equation using the slope, x and y-intercept
