Answer:
See below.
Explanation:
PART A)
1. y=-x+7
The answer you have selected is correct. The equation has a slope of -1 and when you plug in (3,4), you find the equation is equal.
2. y=-3
The answer you have selected is not correct. The slope is 0, as you have a horizontal line that goes through -3 on the y-axis. That means your y-value must always be -3. Hence, F is your answer, as both y-values include -3.
3. x-2y=6
Let's rewrite the equation:
This was accomplished by moving x to the right, and then dividing everything by -2 to isolate y.
Following slope formula, the slope is 1/2. Because the y-intercept is (0,-3), we must begin there.
To find points, we can add our rise (y) over run (x) to (0,-3). The next positive point would thus be (2,-2). Continuing, (4,-1), and (6,0). This means B is your answer.
4. y=(2/3)x
Following the formula y=mx+b, where m is your slope, this means the slope of the equation is 2/3. There is no given y-intercept, so you may begin at (0,0). To find points for this equation, we can use rise over run (for the numerator, you rise, and for the denominator, you run.)
By rising 2 and running 3, you achieve the point (3,2). Following this logic, any multiple of 3 for x is acceptable, and any multiple of 2 for y is acceptable. This makes your answer E because both (3,2) and (-9,6) follow this logic.
5. y=(-1/2)x-3
Our slope is thus (-1/2) and our y-intercept is (0,-3). We can find points by adding our rise (y) over run (x) to (0,-3).
This means we have points: (-2,-2), (2,-4), and (4,-5). This makes your answer A.
6. y=3
Your slope is 0. All y-values must equal 3, as this is a horizontal line going through the point (0,3). Hence, your answer is G.
7. x=-3
You have a vertical line going through (-3,0). This means your slope is undefined, and all points must have an x-value of -3. Hence, your answer is D.
8. x=4
You have a vertical line going through (4,0). This means your slope iis undefined, and all points must have an x-value of 4. Hence, your answer is I.
9. 2x+y=-3.
By process of elimination, your answer is C.
PART B)
1. y=2x.
Your slope is positive, with a y-intercept of (0,0). Following the rule of rise over run, you will rise 2 points and run 1. This makes your answer B.
2. y=(-2/3)x+4
Your slope is negative, with a y-intercept of (0,4). This makes your answer F.
3. y=2x-3
Your slope is positive, with a y-intercept of (0,-3). This makes your answer C.
4. y=-x
Your slope is -1, and your y-intercept is (0,0). This makes your answer E.
5. y=x-3
Your slope is positive, and your y-intercept is (0,-3). This makes your answer D.
6. By process of elimination, your answer is A.
Hope this helps! x