Question

Complete the equation of the line through ( − 10 , − 7 ) (−10,−7)left parenthesis, minus, 10, comma, minus, 7, right parenthesis and ( − 5 , − 9 ) (−5,−9)left parenthesis, minus, 5, comma, minus, 9, right parenthesis. Use exact numbers.

Answer 1

The equation of the line that passes through (-10,-7) and (-5,-9) is y=-2.5x-31.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The slope of the line is,

Slope, m = (-10+5)/(-7+9) = -5/2 = -2.5

Substitute any one of the points in the equation of the line,

-7 = -2.5(-10) + C

-7 = 25 + C

C = -31

Hence, the equation of the line that passes through (-10,-7) and (-5,-9) is y=-2.5x-31.

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