The required equation in slope-intercept or standard form is y = 2x+12.
It is required to find the equation in slope-intercept or standard form.
What is slope?
Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.
Given:
The equation of the line that is parallel to y=2x-4.
Parallel lines have the same slope, We know the equation will be
y = 2x + b.
Use the point (-7,-2) to sub in for (x, y) to solve for b.
-2 = 2(-7) + b
-2=-14+b
12=b
So, the equation will be y = 2x+12
Therefore, the required equation in slope-intercept or standard form is y = 2x+12.
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