Parallel to y=−3/4x, through (4, -1)
1 answer:
Answer:
Step-by-step explanation:
The slope-intercept form is given by y=mx+c, where m is the slope and c is the y-intercept.
Slope of given line=
Parallel lines have the same slope. Thus, the slope of the line would also be .
The value of c can be found by substituting a pair of coordinates.
When x= 4, y= -1,
-1= -3 +c
<em>Add 3 to both sides:</em>
c= -1 +3
c= 2
Thus, the equation of the line is .
Additional:
Do check out the following for a similar question on slope-intercept form!
You might be interested in
The vertex-form equation is
y = a(x+1)² -16
Putting in the y-intercept values, we have
-15 = a(0+1)² -16
1 = a . . . . . . . . . . . add 16
Then the x-intercepts can be found where y=0.
0 = (x+1)² -16
16 = (x+1)²
±4 = x+1
x = -1 ± 4 = {-5, 3}
y = a(x+1)² -16
Putting in the y-intercept values, we have
-15 = a(0+1)² -16
1 = a . . . . . . . . . . . add 16
Then the x-intercepts can be found where y=0.
0 = (x+1)² -16
16 = (x+1)²
±4 = x+1
x = -1 ± 4 = {-5, 3}
a.) The height of the closet is 96 inches, and you want to have 4 rows, so you divide the total height 96 by 4
96 ÷ 4 = 24
So each cube organizer can be a height of 24 inches since it divides out evenly
b.) Each shoe box is 4 1/2 inches, because there are 3 boxes that are stacked on top of each other, you can multiply 4 1/2 by 3, or you can do 4 1/2 + 4 1/2 + 4 1/2.
4 1/2 + 4 1/2 + 4 1/2 = 12 3/2 = 13 1/2
The total height of the 3 boxes is 13 1/2
