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wolverine [178]

3 years ago

12

Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the tab

le
feature to confirm that the coordinates of both points satisfy your equation.
(10, 2) and (-3, 2)

a. y = 2x
b. y = 2x - 3
c. y = 2
d. y = 2x + 10

1 answer:

lions [1.4K]3 years ago

5 0

The answer would be y=2

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A line intersects the points(-22,-14) and (-18,-12). What is the slope-intercept equation for this line?

zaharov [31]

Hello there,

Well we are going to start off with the equation to find the slope based on the given points:

$\frac{y_{2} - y_{1} }{x_{2} -x_{1} }$

Now using the two given points we are going to plug in and solve:

$\frac{(-12)-(-14)}{(-18)-(-22)}$ = $\frac{2}{4}$ = $\frac{1}{2}$

From this you know that $\frac{1}{2}$ is the slope of the equation. However, to find the y-intercept we are going to use y = mx+ b and plug in one of the points to solve:

(-14) = $\frac{1}{2}$ (-22) + b

(-14) = (-11) + b

-3 = b

That means that the y-intercept is at (0, -3). Lastly, we are just going to plug all this into the slope-intercept form:

y = $\frac{1}{2}$ - 3

Hope I helped,

Amna

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