1. The equation of the line is:
y=-2x/3 + 5
2. The equation of the line in slope intercept form is:
y=3x+5
1. Given:
we have two points:
(-3,7) = (x₁,y₁)
(9,-1) = (x₂,y₂)
equation of the line is:
y - y₁ = m(x-x₁)
₁first calculate slope m = y₂-y₁/x₂-x₁
m = -1-7/9-(-3)
m = -8/12
m = -2/3
now, y - 7 = -2/3 (x-(-3)
y-7=-2/3(x+3)
y-7=-2x/3-2
y=-2x/3-2+7
y=-2x/3 + 5
hence equation of the line is y=-2x/3 + 5
2. Given two points:
(2, 11) and (4, 17)
(2, 11) = (x₁,y₁)
and (4, 17) = (x₂,y₂)
slope intercept form:
y=mx+c
we need to calculate the m value:
m = 17-11/4-2
m = 6/2
m=3
now substitute in the given form:
y - 11 = 3(x-2)
y-11=3x-6
y=3x-6+11
y=3x+5
Hence we get the required answer.
Learn more about Slope intercept form here:
brainly.com/question/1884491
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