Find the equation of the line through (-4,6) that is parallel to the line y=-5x+2

The equation of the line, using the point-slope form, through (-4,6) that is parallel to the line will be:

Step-by-step explanation:

We know that the slope-intercept form is

Where m is the slope and b is the y-intercept

Given the equation

comparing with the slope-intercept form

slope = m = -5

y-intercept = b = 2

We know that the parallel lines have the same slopes.

so , the slope of the parallel line will be: -5

Thus, the equation of the line, using the point-slope form, through (-4,6) that is parallel to the line will be:

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step-by-step explanation: