Question

1) The graph shows two lines, A and B.

A coordinate plane is shown with two lines, A and B, graphed. Line A has a slope of negative 1 and crosses the y axis at 5. Line B has a slope of positive 1 and crosses the y axis at 3.

How many solutions are there for the pair of equations for lines A and B? Explain your answer.

2) Consider the following set of equations:

Equation A: y = 2x + 4
Equation B: y = 3x + 1

Which of the following is a step that can be used to find the solution to the set of equations?

2x + 4 = 3x + 1
2x = 3x + 4
2x + 4 = 3x
2x + 1 = 3x + 4

Answer 1

For question 1)
Line A's Gradient= -1
y=-x+5 where 5 is the y-intercept
Line B's Gradient= 1
y=x+3 where 3 is the y-intercept
By equating two equations....
-x+5=x+3
2x+3=5
2x=2
x=1
1 solution
For question 2) answer would be the first option

Answer 2

2x + 4 = 3x + 1 hope this helps good luck