Since the line we are looking for is parallel to the graph of y = -2x, its slope will also be -2. Additionally, the line passes through the given point, so we can use the point-slope form of the equation of a line.
Using the point (1,0) and the slope -2, the equation in point-slope form is:
y - 0 = -2(x - 1)
Simplifying:
y = -2x + 2
This equation is in slope-intercept form. Therefore, the equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of y = -2x is y = -2x + 2.
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. ; (1 point) Responses Image with alt text: y equals negative 2 x. Image with alt text: y equals 2 x. Image with alt text: y equals one-half x.
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