Answer:
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The x-intercept is when y=0. It is the point on the x-axis. Solve for x when y=0 in the first equation.
2x + 3(0) + 6 = 0
2x = -6
x = -3
x-intercept is (-3, 0).
The line we want has the same slope as the second equation because it is parallel. From the second equation,
-5y = -2x + 7
y = (2/5)x - (7/5)
The slope is 2/5.
Using the x-intercept and slope, along with the general form of the line y = mx + b , we can solve for b.
y = mx + b
0 = (2/5)(-3) + b
0 = (-6/5) + b
(6/5) = b
The equation we want is
y = (2/5)x + (6/5)
Explanation:
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