6. Find the equation in slope-intercept form for the line that passes through the point (-8, 3) and is parallel
to the line -5x + 4y = 8.

Solution:

Given that,

We have to find the equation in slope-intercept form for the line that passes through the point (-8, 3) and is parallel  to the line -5x + 4y = 8

The equation of line in slope intercept form is given as:

y = mx + c

Where "m" is the slope of line

From given,

-5x + 4y = 8

Rearrange to slope intercept form

4y = 5x + 8

On comparing the above equation with slope intercept form,

We know that, slopes of parallel lines are equal

Therefore, slope of line parallel  to the line -5x + 4y = 8 is:

Substitute c = 13 and m = 5/4 in eqn 1

Thus the equation of line in slope intercept form is found

1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft

1696 hundred thousand

step-by-step explanation: