The equation in slope-intercept form for the line that passes through (-12,3), perpendicular to y = -(2/3)x-11 is y = (3/2)x + 21.
The slope intercept form of a line is:-
y = mx + b
Where:-
m represents the slope of a line
b represents the y-intercept of a line
x and y represent the ordered pairs (x,y) throughout a line
We are given the line y = - (2/3)x-11 is perpendicular to the line whose equation we have to find.
Hence,
slope of the line*(-2/3) = -1
slope of the line, m = 3/2
Also, (-12,3) passes through the line,
Hence,
3 = (3/2)*(-12) + b
3 = -18 + b
b = 21
Hence, the equation of the line in slope intercept form is y = (3/2)x + 21.
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