Answer:
f(−5)=−8, which means (−5,−8)
is a point on the line. f(2)=5, which means (2,5)
is a point on the line, too.
(−5,−8),(2,5)
Find the slope of the line between
(--5,−8)
and (2,5)
using m=y2−y1x2−x1, which is the change of y
over the change of x.
m=137
Use the slope
m=137
and one of the given points such as (−5,−8)
to substitute for x1
and y1
in the point-slope form y−y1=m⋅(x−x1), which is derived from the slope equation
m=y2−y1x2−x1.y−(−8)=137⋅(x−(−5))
Solve for y
to get the equation.
y=13x7+97
The final answer is the equation in slope-intercept form.
y=137x+97Replace y
by f(x).f(x)=137x+97
Step-by-step explanation:
Hope this helps you :)
