Question

(Please Help, will mark brainliest!)
What is the equation of this line in slope-intercept form?
A) y=-1/4x-2
B) y=1/4x-2
C) y = 4x-2
D) don't know​

Answer 1

Answer:

y = -1/4x - 2

Step-by-step explanation:

Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

To solve for b, use x = 0:

y = m(0) + b

y = b

y = -2, so b = -2

To solve for m, remember that slope is Δy/Δx.

m = Δy/Δx

Given the two points, (0, -2) and (4, -3), we input them to find the slope:

m = [-3 - (-2)]/(4 - 0)

m = -1/4

Therefore, y = -1/4x - 2.