What is the slope-intercept equation of the line below? y-intercept=(0,2) slop=-1/4

y=-1/4x+2

Step-by-step explanation:

So the forumla for slope/intercept equation is:

y=mx+b

Y equals the y coordinates on the graph. This is the value that you plug in x to solve for.

m equals the slope of the graph. (In this case -1/4)

x equals the x coordinates. This will always be just x when writen in a slope intercept equation, since x is the value you plug in to solve for y.

b equals the y intercept. This is different from the y coordinates. This is a known value, which can be found when x=0. (In this case 2)

Now, using this lets plug in our numbers for the differet variables:

y=mx+b

We know that m, the slope, is -1/4. So:

y=-1/4x+b

We also know that b, the y inteercept, is 2. Since we have the coordiantes (0x, 2y). So:

y=-1/4x+2

This is all you have to do! This is because y is the number you solve for, and x is the value you plug.

Hope this makes sense and helps! :)

a - base

b - exponent

so,