Question

Consider the system of linear equations consisting of the equations y = 2x + 2 and y = 2.5x + b that has the solution (2, 6). What is the value of b? Explain your reasoning

Answer 1

Answer:

1

Step-by-step explanation:

The lines intersect at (2, 6).  Which means for both equations, y = 6 when x = 2.

y = 2.5x + b

6 = 2.5(2) + b

6 = 5 + b

b = 1

Answer 2

Because the equations share a point on the graph they can be set equal to each other. Once you do that you plug 2 in for x and solve for b. This will give you the y-intercept of the second equation.