Question

1 Point

Answer 1

Answer: $y=-1.5x$

Step-by-step explanation:

The Slope-Intercept form of the equation of the line is:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

Find the slope of this line using the formula:

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

You can say that:

$y_2=-6\\y_1=3\\x_2=4\\x_1=-2$

Substituiting values, you get:

$m=\frac{-6-3}{4-(-2)}\\\\m=-1.5$

Now, you must substitute the slope and any point of the line, into  $y=mx+b$ and then you must solve for "b" in order to find its value. You get that this is:

$3=-1.5(-2)+b\\\\3=3+b\\\\3-3=b\\\\b=0$

Since the y-intercept is 0, the line passes through the origin. Therefore,  you get that the equation of this line in Slope-Intercept form, is:

$y=-1.5x$