Answer:
[tex]y = 5x - 3[/tex]
Step-by-step explanation:
Given
[tex]Slope, m = 5[/tex]
[tex](x_1,y_1) = (2,7)[/tex]
Required
Determine the line equation
Using slope intercept form, the line equation can be calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
Substitute values for m, x1 and y1. The equation becomes
[tex]y - 7=5(x - 2)[/tex]
Open Bracket
[tex]y-7 = 5x - 10[/tex]
Add 7 to both sides
[tex]y-7+7 = 5x - 10+7[/tex]
[tex]y = 5x - 3[/tex]
Hence, the line equation is: [tex]y = 5x - 3[/tex]
