Write the slope-intercept form equation of the line passing through (0,4) and (3,-1).

Question

Write the slope-intercept form equation of the line passing through (0,4) and (3,-1).

Answer 1

The slope-intercept form of a line is written as y = mx + b where m is the slope and b is the y-intercept.

First, we can determine the slope by

m = (y₂ - y₁)/(x₂ - x₁)

m = (-1 - 4)/(3 - 0) = -5/3

Using this value for the slope and either one of the given points, we can solve for the y-intercept, b:

y = mx + b

4 = (-5/3)(0) + b Using the point (0,4) for (x,y) and m = -5/3

4 = 0 + b

b = 4

Putting the values determined for m and b back into the formula, we get:

y = (-5/3)x + 4

Hope this helps!

Answer 2

m=(-1-4)/(3-0)=-5/3

-5/3 = (y-4)/x

y = (-5/3)x + 4