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yawa3891 [41]
3 years ago
14

What is the equation in point slope form of a line that passes through the points (-8,2) and had a slope of 1/2

Mathematics
2 answers:
lilavasa [31]3 years ago
5 0

Answer:

y-2=\dfrac{1}{2}(x+8)

Step-by-step explanation:

It a line passes through the point (x_1,y_1) with slope m, then the point slope form of the line is

(y-y_1)=m(x-x_1)      ....(i)

It is given that line passes through the point (-8,2) and had a slope of 1/2.

We neeed to find the  equation in point slope form of the line.

Substitute x_1=-8,y_1=2\text{ and }m=\dfrac{1}{2} in equation (i).

(y-(2))=\dfrac{1}{2}(x-(-8))

y-2=\dfrac{1}{2}(x+8)

Therefore, the point slope form of the line is y-2=\dfrac{1}{2}(x+8).

AysviL [449]3 years ago
3 0
First you have to plug in your information into the formula- y=mx+b
So we know the y is 2, the slope (m) is 1/2, the x is 2 and we don't know the b. Do plug it in the formula and solve... you should get 2=1/2(2)+b you will end up with 1=b and the final answer is y=1/2x+1
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