Write an equation in slope-intercept form of the line that passes through (0, 3) and (4, 2).

Answer 1

To be short:

y=mx+b where m=Δy/Δx=(2-3)/(4-0)=-1/4.

Therefore y=(-1/4)x+b.

With (x,y)=(0,3) in this equation, we conclude that: b=3.

The equation will be: y=(-1/4)x+3.

Answer 2

Hi Kaliyah,

Slope-intercept form is:

y=Mx + b

y=y-coordinate

m=slope

x=x-coordinate

b=y-intercept

Here, we are given two points, so first step is to find the slope, which is:

m=(y₂-y₁)/(x₂-x₁₎

y₁₌first y coordinate

y₂=second y coordinate

x₁=first x coordinate

x₂=second x coordinate

So, for this problem, we have:

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

m= -1/4

Now, we can substitute into the slope-intercept equation using either point to get our y-intercept. I’ll use (0,3)

y=Mx + b

m= -1/4

x=0

y=3

b=b, which we will solve for

3=(1/4)(0) + b

b=3

So, your final equation is:

y= -1/4x + 3

I hope this helps.