Question

Write the equation of the line passing through the points (36Ė5) and (-4Ė-5) .

The equation of the line is
(Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)

Answer 1

y = 1/4x -4

Explanation:

You want the slope-intercept equation of the line through the points (36, 5) and (-4, -5).

Slope

The slope of the line is given by the formula ...

m = (y2 -y1)/(x2 -x1)

m = (-5 -5)/(-4 -36) = -10/-40 = 1/4

Equation

The point-slope equation is ...

y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

y +5 = 1/4(x +4) . . . . . line with slope 1/4 through point (-4, -5)

Rearranging gives ...

y = 1/4x +1 -5

y = 1/4x -4 . . . . . . the equation of the line

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