Answer:
y= -3/2x + 5/2
Step-by-step explanation:
<u>Given:</u>
- Line y= -3/2x - 1 and point (3, -2)
<u>To find:</u>
- Equation for the line parallel to the given that passes through the given point.
<h3>Solution</h3>
The given line has a slope of -3/2
The parallel line will have the same slope
<u>The point-slope form:</u>
<u>We have m = -3/2, y1= -2, x1 = 3, plug in:</u>
- y - (-2) = -3/2(x - 3)
- y + 2 = -3/2(x - 3)
- y = -3/2x + 9/2 - 2
- y = -3/2x + 5/2
or
To calculate the percentage increase: First: work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100.
45-32 = 13 / 32 *100= 40.625 round to the nearest percent is 41%
Ms. Cassidy instructed Miguel to change one sign of the graph of y < 2x – 4 so that point (2, 3) can be included in the solution set.
To check which of the given options might Miguel write we check the inequality that holds true for the point (2,3).Substituting x=2 ,y=3 we have:
1) y < 2x – 1
3<2(2)-1
3<3 Not True.
2)y ≤ 2x – 4
3≤ 2(2) -4
3≤ 0 .Not true.
3) y > 2x – 4
3> 2(2)-4
3> 0 True.
4) y < 2x + 4
3<2(2)+4
3<8 True
5) .y < 3.5x – 4
3< 3.5(2)-4
3<3 Not true
6) y < 4x – 4
3<4(2)-4
3<4 True.
Options 3 ,4 ,6 holds true for the point (2,3)
4x+3(2x-1) -4x 3(2x-1)= 6x-3 -4x 4x+6x-4x= 6x-3
