Question

Can Someone Please Help Me With This Question. I'll post a picture of the question ​

Answer 1

Answer:

$y-7=3(x-9)$

Step-by-step explanation:

The form of equation of line given in the problem is the point-slope form of a line. That is given by:

$y-y_1=m(x-x_1)$

We need $y_1$ and m (denoted by boxes)

$y_1$ is the y coordinate of the first set of points.

The first coordinate pair is (9,7), so $y_1$  would be 7

$y_1=7$

Now, the slope (m).

It has formula

$m=\frac{y_2-y_1}{x_2-x_1}$

So, x_1 = 9

y_1 = 7

x_2 = 4

y_2 = -8

Substituting, we get the slope to be:

$m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-8-7}{4-9}\\m=\frac{-15}{-5}\\m=3$

Hence, the equation of the line in point-slope is:

$y-7=3(x-9)$