Find the equation for the line that passes through the points ( 7 , 2 ) and ( 10 , − 6 ) . Give your answer in slope intercept form

y  =  x +

Step-by-step explanation:

Use slope formula.

then substitute slope for m in y = mx + b

pick a set of coordinates and substitute them in for x and y.

Solve for b

Step-by-step explanation:

Hi there!

Slope-intercept form: where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

where two given points are and

Plug in the points (7,2) and (10,-6)

Therefore, the slope of the line is . Plug this into :

2) Determine the y-intercept (b)

Plug in one of the given points and solve for b

Add to both sides to isolate b

Therefore, the y-intercept is . Plug this back into :

I hope this helps!

so, converting firstly the mixed fractions to improper fractions and then "adding".