Question

1. write an equation for the line that passes through the given point and has the given slope: (10, 7) slope 4

Explanation:

Step1: Use point-slope form

The point-slope formula is $y - y_1 = m(x - x_1)$, where $(x_1, y_1)=(10,7)$ and $m=4$.
$y - 7 = 4(x - 10)$

Step2: Expand the right-hand side

Distribute the slope value across the parentheses.
$y - 7 = 4x - 40$

Step3: Solve for y

Isolate y by adding 7 to both sides.
$y = 4x - 40 + 7$
$y = 4x - 33$

Answer:

$y = 4x - 33$