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3 years ago

What is the equation in point−slope form of the line passing through (−3, −4) and (0, 2)?

Mathematics

1 answer:

Nana76 [90]3 years ago

4 0

Answer:

y = 2x + 2

Step-by-step explanation:

To find the slope we do (Y1 - Y2)/(X1-X2) aka rise over run

So, m = (-4 - 2) / (-3 - 0)

m = 2

Now we have y = 2x +b

Notice one of our points is (0,2)

Since the x value of that point is 0, it is the y intercept.

In the slope intercept form b = y-intercept

Therefore b = 2

So, y = 2x + 2

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3 years ago

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melamori03 [73]

Answer:

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Step-by-step explanation:

To find the slope of a line use the formula, where "m" means slope:

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

*You don't need to show this part on paper*

Choose which point you want to be point 1 and point 2. Remember the points are written (x, y).

Point 1: (-2, 1) x₁ = -2 y₁ = 1

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Substitute the coordinates into the formula:

*Show this part on paper*

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

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