Answer:
y = 3x/2-14
Step-by-step explanation:
We are given that the line is perpendicular to y = -2/3 and contains (4,-8).
<u>P</u><u>e</u><u>r</u><u>p</u><u>e</u><u>n</u><u>d</u><u>i</u><u>c</u><u>u</u><u>l</u><u>a</u><u>r</u><u> </u><u>D</u><u>e</u><u>f</u><u>.</u>
Both slopes multiply each others equal to -1.
Finding another slope that is perpendicular to -2/3, substitite m1 = -2/3 in.
Multiply both sides by 3.
Therefore, another slope that is perpendicular to -2/3 is 3/2.
Then rewrite in slope-intercept form.
<u>S</u><u>l</u><u>o</u><u>p</u><u>e</u><u>-</u><u>I</u><u>n</u><u>t</u><u>e</u><u>r</u><u>c</u><u>e</u><u>p</u><u>t</u>
where m = slope and b = y-intercept; substitute m = 3/2 in.
Since the line contains (4,-8), substitute x = 4 and y = -8 in and solve for b.
Therefore, b is -14; rewrite again in slope-intercept form.
Thus:-