Question

Find the equation for the linear function that passes through the points ( see photo )

Answer 1

Answer:

$f(x)=\frac{3}{2}x-2$

Step-by-step explanation:

step 1

Find the slope m

we have

(-2,-5) and (4,4)

The slope is equal to

$m=\frac{4+5}{4+2}$

$m=\frac{9}{6}$

simplify

$m=\frac{3}{2}$

step 2

Find the equation of the line into slope point form

$y-y1=m(x-x1)$

we have

$m=\frac{3}{2}$

$(4,4)$

substitute

$y-4=\frac{3}{2}(x-4)$

step 3

Convert to slope intercept form

$y-4=\frac{3}{2}(x-4)$

$y=\frac{3}{2}x-6+4$

$y=\frac{3}{2}x-2$

Convert to function notation

$f(x)=\frac{3}{2}x-2$