11) Solve the following equations, using the lines to show each step.

4x + 5 = 2x + 7

x=1

Step-by-step explanation:

4x+5=2x+7

subtract 5 from each side

4x+5-5=2x+7-5

4x=2x+2

subtract 2x from each side

4x-2x=2x-2x+2

2x=2

x=1

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