Question

Line slope intercept (0,2),(1,-9),

Answer 1

To find the slope-intercept form of the equation given two points, we use the formula:

(y - y1) = m(x - x1)

Given the points (0, 2) and (1, -9), we can take (x1, y1) as (0, 2) and (x2, y2) as (1, -9). Substituting these values in the formula, we get:

(y - 2) = m(x - 0)
(y - 2) = mx

Now, substituting the second point (1, -9), we have:

(-9 - 2) = m(1 - 0)
-11 = m

Therefore, the slope (m) of the line is -11.

Substituting the slope (-11) and the y-intercept (2) in the slope-intercept form (y = mx + b), we have:

y = -11x + 2