write an equation in slope intercept form of the line that passes through (7,2) and (2,12)

Answer 1

Hello, Angelina.

Okay, so slope intercept form is:

y = mx + b

Where m = the slope and b = the y-intercept

So, to find the slope of the line containing (7,2) and (2,12) you need to find the slope, m.

m = (y_{2 -} y₁)/ (x₂ - x₁₎

= (12 - 2)/(2 - 7) = 10/-5 = -2

_{Now, to find the y-intercept (b), insert m = -2 into the equation and one of the given points:}

y = -2x + b

let's use point (7,2) to find b:

2 = -2(7) + b

2 = -14 + b

b = 16

Now, we can find the equation of this line:

y = -2x + 16