What is the slope of the line that passes through the points (−3,−3) and (-5, -2)? write in simplest form

The equation of the line is y = 1/2x - 3/2.

In order to find this, we first need to find the slope of the equation. The equation for slope is written below.

m (slope) = (y2 - y1)/(x2 - x1)

Given this equation (x1, y1) and (x2, y2) are your points. Knowing this, we can plug in and find the slope.

m = (-2 - -3)/(-5 - -3)

m = (-2 + 3)/(-5 + 3)

m = -1/-2

m = 1/2

Now we can use the slope and either point in slope intercept form to find the answer.

y = mx + b

-3 = -3(1/2) + b

-3 = -3/2 + b

-3/2 = b

This gives us the final equation of y = 1/2x - 3/2

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24