The points (-3,9) and (-1,r) lie on line with slop -2.

The value of r is 5

Step-by-step explanation:

The question is

Find out the value of r

we know that

The formula to calculate the slope between two points is equal to

we have the points

(-3,9) and (-1,r)

substitute

Remember that

substitute the value of m

Solve for r

Multiply by 2 both sides

Adds 9 both sides

Rewrite

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b

there is no graph so i cant sorry

step-by-step explanation: