Answer :
The original equation is in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. A perpendicular line to Y = -4x + 7 would be Y = 4x + 7.
To find the equation of a line perpendicular to Y = -4x + 7, we need to switch the x and y variables and then change the sign of the slope.
The original equation is in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
Since the original equation has a slope of -4, the perpendicular line will have a slope of 4.
Therefore, the equation for the perpendicular line is y = 4x + b.
We can find the y-intercept by plugging in a point from the original equation.
For example, if we plug in (0,7), we get 7 = -4(0) + b, or b = 7.
Therefore, the equation for the perpendicular line is y = 4x + 7.
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