The points (–4, –3) and (–1, –8) are on a line. Find the intercepts to the nearest tenth.
1 answer:
The intercepts are the points where the line meets with the x axis and the y axis. First let us find the equation of the line.
Finding slope:
slope=change in y/change in x (y2-y1/x2-x1)
slope=-3-(-8)/-4-(-1)=5/-3=-5/3
Finding y-intercept:
y=mx+b
-8=-5/3(-1)+b
b=-9 2/3
y intercept: (0,-9 2/3)
Equation: y=-5/3x-9 2/3
Since we already have the y intercept let us find the x intercept by plugging 0 in the place of y in the equation.
0=-5/3x-9 2/3
x=29/3x(-3/5)
x=-29/5
x intercept: (-29/5,0)
answers: (0,-9 2/3) and (-29/5,0)
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