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inn [45]
3 years ago
5

Write in slope-intercept form an equation of the line that passes through the points (−1,12) and (1,2).

Mathematics
1 answer:
zzz [600]3 years ago
4 0

Answer:

y=-5x+7

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

the points (−1,12) and (1,2)

substitute

m=\frac{2-12}{1+1}

m=\frac{-10}{2}

m=-5

step 2

we know that

The equation of the line in slope intercept form is equl to

y=mx+b

where

m is the slope

b is the y-intercept

we have

m=-5

point\ (1,2)

substitute in the linear equation and solve for b

2=-5(1)+b

b=2+5=7

therefore

y=-5x+7

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