Question

Choose the system of equations which matches the following graph: (5 points)

Answer 1

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