Find a linear function h given ​

Question

Find a linear function h given

​h(negative 5−5​)equals=negative 4−4

and

​h(negative 9−9​)equals=negative 3−3.

The linear function is

​h(x)equals=nothing.

Answer 1

If h(-5) = -4 and h(-9) = -3, this describes two points in the x-y plane. (-5,-4) and (-9,-3)

Determine the slope of the line from these two coordinates y2-y1 / x2-x1

(-3 - (-4)) / (-9 - (-5)) = 1 / -4 = -1/4 slope

use point-slope method to determine equation of the line y - y1 = m(x-x1)

y - (-4) = (-1/4)(x - (-5))

y + 4 = (-1/4)(x + 5) ANSWER IN POINT-SLOPE FORM

alternate forms: y = (-1/4) x - (21/4) IS SLOPE-INTERCEPT FORM

x + 4y = -21 IS STANDARD FORM