Question

a line passes through the point (4, 5) and has a slope of 6. write an equation in slope - intercept form for this line.

Explanation:

Step1: Recall point-slope formula

The point-slope form is $y - y_1 = m(x - x_1)$, where $m=6$, $x_1=4$, $y_1=5$.

Step2: Substitute values into formula

$y - 5 = 6(x - 4)$

Step3: Expand and solve for y

$y - 5 = 6x - 24$
$y = 6x - 24 + 5$
$y = 6x - 19$

Answer:

$y = 6x - 19$