What is the formula to find y intercept in this problem?

Question

A line passes through the point , 8,−6

 and has a slope of −5/4

.

Write an equation in slope-intercept form for this line.

Answer 1

slope intercept form y = mx + b, where m is slope, b is y-intercept. we need to find m and b.

since given slope y = -5/4x + b.

since line passes through 8,-6, we can substitute 8 for x and -6 for y in above equation and solve for b:

-6 = -5/4 (8) + b

-6 = -10 + b

4 = b

y = -5/4x + 4

Answer 2

The slope intercept form of a linear equation is y = mx + b. It is called just so because m is the slope and b is the intercept when our x is 0. Your question gives us a lot of information to solve this problem. We know:

m, our slope = -5/4

We also have a third point (8, -6). 8 is x and y is -6

We are looking for b, our y intercept.

We can plug in and solve using this third point.

-6 = -5/4(8) + b

-6 = -10 + b [add 10 to both sides]

b = 4

Our equation is this y = -5/4(x) + 4