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fredd [130]
3 years ago
10

(0,5) (-5,1) write an equation for the line that passes through the given points.

Mathematics
1 answer:
solniwko [45]3 years ago
4 0
We know the y-intercept is (0,5).
So we can say from the linear formula y = mx+b
b is 5.
we also have (-5,1) which can be subbed in the formula.
Thus, we will have an equation solving for m.
1 = m(-5)+5
-4 = m(-5)
4/5 = m
Therefore, y = 4/5x + 5
To check sub -5 into the x and see if up you get a 1. If you do it’s correct.

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<h3>Answer:    y = (3/2)x + 0</h3>

This is the same as  y = (3/2)x

=============================================================

Work Shown:

Find the slope of the line through (x1,y1) = (-2,-3) and (x2,y2) = (2,3)

m = (y2 - y1)/(x2 - x1)

m = (3 - (-3))/(2 - (-2))

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The slope is the fraction 3/2. This is going to be in front of the x, or to the left of the x.

----------

Plug m = 3/2 and (x1,y1) = (-2,-3) into the point slope formula. Solve for y.

y - y1 = m(x - x1)

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y + 3 - 3 = (3/2)*x + 3 - 3

y = (3/2)x + 0

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