Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

given (2, 12) and (7, 2) write the equation of the line that passes thr…

Question

given (2, 12) and (7, 2)
write the equation of the line that passes through those two points.
hint: $m = \frac{(y_2 - y_1)}{(x_2 - x_1)}$

  1. the slope of the line is -2
  2. the y - intercept is 16
  3. the slope - intercept equation is type your answer... (enter your answer with no spaces!)

Explanation:

Step1: Recall slope-intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Substitute values

We know that $m=-2$ and $b = 16$. Substituting these values into the slope - intercept form, we get $y=-2x + 16$.

Answer:

$y=-2x+16$