A line goes through the points (8,9) and (-2,4) .
(a) What is the slope of the line? Show your work
(b) Write the equation of the line in point-slope form. Show your work
(c) Write the equation of the line in slope-intercept form. Show your work.

Just look at step by step explanation :\

Step-by-step explanation:

a.

Slope: rise/run

Use slope formula: (y1-y2)/(x1-x2)

Substitute x1=8, y1=9, x2=-2, y2=4

—> (9-4)/(8-(-2)) —> 5/10 —> 1/2

Slope(m) is 1/2

b.

Point slope form: y1-y2=m(x1-x2)

Plug in everything. x1=8, y1=9, x2=-2, y2=4, m=1/2

Point slope form with everything plugged in: 9-4=1/2(8+2)

Simplified if you want?: 5=5

c.

Linear equation form: y=mx+b

Equation so far: y=1/2x+b (m is slope. b is y intercept)

Plug in a point you have into the equation. For ex: I’ll plug in (-2,4)

4=1/2*-2+b

Solve it

4=-1+b

b=5

Now write the completed equation of the line: y=1/2x+5

Hope this helps :)))