Question

Use the information given to enter an equation in standard form.

(9, 10) and (8, 7) are on the line.

Answer 1

The equation in the standard form of the line through the given points is;

y = 3x - 17

Explanation:

We start by getting the slope of the line;

m = (y2-y1)/(x2-x1)

m = (7-10)/(8-9) = -3/-1 = 3

The stands equation form is;

y = mx + b

m is slope, b is the y-intercept

so we have

y = 3x + b

To get b, we substitute the coordinates of any of the points

10 = 3(9) + b

10 = 27 + b

b = 10-27

b = -17

So the equation is;

y = 3x - 17