Answer
The red line represents y = x + 1
The blue line represents y = 2x - 7
We can see that the two lines and equation intersect at (8, 9)
Solution
x = 8
y = 9
Explanation
The two equations are
y = x + 1
y = 2x - 7
To solve this graphically, we will plot the two equations on the same graph and the solution will exist at the point where the two lines meet.
To plot the lines for each of these equations, we will use intercepts to obtain two points on each line and then connect the two points to get each of the lines.
y = x + 1
when x = 0
y = x + 1
y = 0 + 1
y = 1
First point on the line is (0, 1)
when y = 0
y = x + 1
0 = x + 1
x = -1
Second point on the line is (-1, 0)
The two points are (0, 1) and (-1, 0)
y = 2x - 7
when x = 0
y = 2x - 7
y = 2(0) - 7
y = 0 - 7
y = -7
First point on the line is (0, -7)
when y = 0
y = 2x - 7
0 = 2x - 7
2x = - 7
Divide both sides by 2
(2x/2) = (-7/2)
x = -3.5
Second point on the line is (-3.5, 0)
The two points are (0, -7) and (-3.5, 0)
The graph of this question will now be presented under answer and the point of intersection will bw evident.
Hope this Helps!!!
