7y + 4x = 3; (-4, -7) Write the equation in slope intercept form of the line that is perpendicular to the graph of the equation and passes through the given point.
Accepted Solution
A:
Solving the given equation for y results in y = (-4/7) x + (a constant).
The new line has a slope that is the negative reciprocal of -4/7. That slope is +7/4.
The new line passes thru (-4, -7). Thus,
the equation for this new line is y - (-7) = (7/4)(x - [-7]), or
y + 7 = (7/4)(x+7)
Let's put this into slope-intercept form:
y = -7 + (7/4)x + (49/4), or y = (7/4)x + (49/4) - 7, or
y = (7/4)x + 21/4 (answer in slope-intercept form)