Y= mx + b to find the equation of the line that passes through the points (−6, 1) and (3, 4).

y = –3x + 5

y = 3x – 5

Step-by-step explanation:

we know that

The equation of the line in slope intercept form is equal to

where

m is the slope

b is the y-coordinate of the y-intercept

we have the points

(−6, 1) and (3, 4)

substitute the value of x and the value of y of each point in the equation of the line, then solve for m and b

For (-6,1)

-----> -----> equation A

For (3,4)

----> -----> equation B

Solve the system of equations A and B

Match equation A and equation B

Solve for m

Find the value of b

The equation of the line is

step-by-step explanation:

the first 5 right here the next 5 i will upload as separate question