Mathematics: 1 Point Write an equation of the form y= mx for the line shown below. If appropriate, use the decimal form for the slope. (-2,3) (4, -6)

1426Step-by-step explanation:1240+186=1426...

1 Point Write an equation of the form y= mx for the

Ответ:

kittykat5105

20.01.2022

Mathematics

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

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1 Point
Write an equation of the form y= mx for the line shown below. If appropriate,
use the decimal form for the slope.
(-2,3)
(4, -6)

Ответ:

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