Answer:
-5x + y = -7
2x + y = 0
Step-by-step explanation:
Equation of the line that slants upwards from left to your right:
The slope (m) = rise/run = (5/1) = 5
Using a point on the line, (2, 3) and the slope, substitute x = 2, y = 3, and m = 5 into y = mx + b to find the value of b.
Thus:
3 = 5(2) + b
3 = 10 + b
3 - 10 = b
-7 = b
Substitute m = 5 and b = -7 into y = mx + b
First equation of the system would be:
y = 5x - 7
Rewrite, you'd have:
-5x + y = -7
Equation of the line that slants downwards from left to your right:
Slope (m) = rise/run = -(2/1) = -2
y-intercept, b = 0 (the point where the line intercepts the y-axis)
Substitute m = -2 and b = 0 into y = mx + b.
y = -2x + 0
Rewrite, you'd have:
2x + y = 0
✔️The equations of the system are:
-5x + y = -7
2x + y = 0
