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nexus9112 [7]
3 years ago
12

Find the equation of a line that goes through points (-3, -5) and (-1, -2).

Mathematics
1 answer:
ivann1987 [24]3 years ago
7 0

The slope-point formula:

y-y_1=m(x-x_1)

The formula of a slope: m=\dfrac{y_2-y_1}{x_2-x_1}

We have:

(-3,-5)\to x_1=-3,\ y_1=-5\\(-1,-2)\to x_2=-1,\ y_2=-2

Substitute and calculate:

m=\dfrac{-2-(-5)}{-1-(-3)}=\dfrac{3}{2}=1.5\\\\y-(-5)=1.5(x-(-3))\\\\y+5=1.5(x+3)\\\\y+5=1.5x+4.5\ \ \ |-5\\\\y=1.5x-0.5

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