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).

y=-3/4x+1/4

Step-by-step explanation:

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 point (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

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation:

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