Question

Alejandro made an error in the steps below when determining the equation of the line that is perpendicular to the line 4x – 3y = –8 and passes through the point (3, –2). Alejandro made his first error in which step? a.Step 1 b.Step 2 c.Step 3 d.Step 4

Answer 1

Step 2

Explanation:

It's B on ed

Answer 2

This is the concept of equations of graphs; We are required to calculate for the equation if the line that is perpendicular to the line 4x-3y=-8 and passes through point (3,-2).
Here we proceed as follows;
4x-3y=-8 can be written in he form y=mx+c as follows;
-3y=-4x-8
thus;
y=4/3x+8/3
The slope of the line perpendicular to this is -3/4. Thus using p[oint (3,-2) the equation will be as follows;
-3/4=(y--2)/(x-3)
-3/4(x-3)=y+2
y+2=-3/4(x-3)
y+2=-3/4x+9/4
thus;
y=-3/4x+1/4
the answer is:
y=-3/4x+1/4