Answer:
C. 3/2x
Step-by-step explanation:
Firstly, we know that the slopes are the same because parallel lines have the same slope. Then we can find the y-intercept by using the slope and point in slope-intercept form.
y = mx + b ---> plug in known values
3 = (3/2)(2) + b ---> Multiply
3 = 3 + b ---> Subtract 3 from both sides.
0 = b
Since the intercept is 0, you will not see a number after the slope and x.
Answer: (2,1)
Step-by-step explanation:
The two equations given are:
y = 3 -x
y = x - 1
The question is asking to determine the point of intersection for two linear functions aka two lines.
Step #1: Both functions must be in slope intercept form which is y = mx+b. In this case, this step can be skipped because both functions are in slope form. At an intersection, x and y must have the same value for each equation. This means that the equations are equal to each other. Therefore, we can set both equations equal to each other to solve for x.
- Add x to both sides to get 2x - 1 = 3
- Add 1 to both sides to get 2x = 4
- Divide both sides by 2 to get x = 2
Step #2: We found the x-coordinate, but we need to find the y-coordinate. We know that the x-coordinate is 2, so substitute the number 2 into any of the given equations. So, either into y = 3 - x or y = x - 1.
The point of intersection is (2,1).
Hope this helps ^_^
Alright so the parentheses mean (x, y) so basically you have to plug in the numbers in parentheses into the equation so here's what I got:
a. i
b. iv
c. ii
d. v
So then e must be iii, let’s check:
y = -x + 1
.5 = -.5 + 1 ✔️
.75 = -.25 + 1 ✔️
.875 = -.125 + 1 ✔️
So that’s how you would solve those equations. Hope this helps.
Y=1/5x-3 (subtract x on each side then divide each by 6)