Question

What is the equation of the line that has a slope of 5 and passes through the point (2,7)?

Answer 1

Answer:

$y = 5x - 3$

Step-by-step explanation:

Given

$Slope, m = 5$

$(x_1,y_1) = (2,7)$

Required

Determine the line equation

Using slope intercept form, the line equation can be calculated using:

$y - y_1 = m(x - x_1)$

Substitute values for m, x1 and y1. The equation becomes

$y - 7=5(x - 2)$

Open Bracket

$y-7 = 5x - 10$

Add 7 to both sides

$y-7+7 = 5x - 10+7$

$y = 5x - 3$

Hence, the line equation is: $y = 5x - 3$