Question

write an equation of the line that passes through the given point and has the given slope: (-1,1); m = 4
y = 4x - 1
y = 4x - 2
y = 4x - 3
y = 4x + 5

Explanation:

Step1: Use point-slope form

The point-slope formula is $y - y_1 = m(x - x_1)$, where $(x_1,y_1)=(-1,1)$ and $m=4$.
$y - 1 = 4(x - (-1))$

Step2: Simplify the right-hand side

$y - 1 = 4(x + 1)$
$y - 1 = 4x + 4$

Step3: Solve for y

Add 1 to both sides to isolate y.
$y = 4x + 4 + 1$
$y = 4x + 5$

Answer:

D. $y = 4x + 5$