Answer:
(-1, 6)
Step-by-step explanation:
The equation of a line in slope-intercept form is
y = mx + b
where m = slope and b = y-intercept
The equation of the first line is
y = -4x + 2 (1)
For the second line we are not given the y-intercept only the slope.
y = --2x + b
However we are told it passes through (3, -2)
Substitute -2 for y and 3 for x to solve for b
- 2 = -2(3) + b
-2 = -6 + b
6 - 2 = b (subtract 6 both sides)
4 = b or b = 4
Second line equation is y = -2x + 4 (2)
Since left side of both (1) and (2) is y we can set the right sides equal to each other and solve
-2x + 4 = -4x + 2
Add 4x both sides:
4x - 2x + 4 = 2
2x + 4 = 2
Subtract 4 both sides:
2x = 2 - 4 = -2
Divide by 2 both sides:
x = -1
Only one answer choice has x = -1 so the solution is (-1, 6)
We could solve for y using x = -1 in any of the two equations. It will turn out to be 6
