Question

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

X

Answer 1

y=-2x+16.

Explanation:

1. common view of the slope-intercept form is:

y=kx+b, where k - slope, b - intercept;

2. according to the given points slope is:

`k=(y_1-y_2)/(x_1-x_2); \ = > \ k=(12-2)/(2-7)=-2.`

3. the view of slope-interception form is y=-2x+b;

4. if to substitute the coordinates of any poit into the equatuion 'y=-2x+b', then

(7;2)| 2=-2*7+b, ⇒ b=16, then

5. finally, y=-2x+16.

PS. the suggested way of solution is not the shortest one.