What is the answer to Write an equation for the line in the given form. Contains the points (7, 6) and (9, 12); slope-intercept form

Answer 1

Hi Axel T

Using the coordinates given, you can first calculate the slope, then use either point to calculate b in the Slope Intercept Form

Given (7, 6) and (9. 12)

Let (7, 6) = x₁, y₁

Let (9, 12) = x₂, y₂

The slope m

m = (y₂ - y₁)/(x₂ - x₁)

m = (12 - 6)/(9 - 7) = 6/2 = 3

m= 3

Next we want

y = mx + b

Using (9, 12)

12 = 3(9) + b

12 = 27 + b

12 - 27 = b

-15 = b

Your line in slope intercept form

y = mx + b

y = 3x - 15

You can plug in x of the other coordinates given to check

y = 3(7) -15

y = 21 - 15

y = 6

The coordinates were (7, 6) so that checks out

I hope you find this useful