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Write an equation in slope-intercept form that satisfies each set of conditions.

32. Passes through 5,-3  and  -2,0

Short Answer

Expert verified

The equation of line is y=-37x-67.

Step by step solution

01

Step-1 – Slope of a line and point slope form.

The slope of the line is slope=y2-y1x2-x1

The point slope form is y-y1=m(x-x1) where m is the slope of the line.

02

Step-2 – Calculate the slope.

Substitute (x1,y1)=(5,-3)  and  (x2,y2)=(-2,0)into the formula slope=y2-y1x2-x1

m=0−(−3)−2−5m=3−7m=−37

03

Step-3 – Make the equation.

Substitute (x1,y1)=(5,-3)  and  m=-37into y-y1=m(x-x1).

y−(−3)=−37(x−5)y+3=−37x+157y=−37x−67

The equation of line is y=−37x−67.

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