Answer:
1. The equation would be y = -2x + 9
Step-by-step explanation:
To find the line parallel going through the given point, first note that parallel lines have the same slope. This means that in #1, we have a slope of -2 in the original line, therefore the parallel line will also have a slope of -2. Now we can use this and the given point to find the line using point-slope form.
y - y1 = m(x - x1)
y - 1 = -2(x - 4)
y - 1 = -2x + 8
y = -2x + 9
Answer: G is -1/3
Step-by-step explanation:
The constant rate of change is $1.75 :)
This is because when the x value equals 1 the y value equals 4.75. And when the x value equals 2 the y value equals 6.50, so the rate of change is between the 2 y values which is linear so it has a constant rate of change of $1.75.
Our first expression is . Upon distributing the exponent 4 on all the terms, we get:
Therefore, your answer is correct for this part. :)
Second expression is . Upon distributing the exponent -2 on all the terms, we get:
Your second answer is correct too.
Our third expression is . Upon distributing the exponent 2 on all the terms, we get:
This one is not correct. Your answer would have been correct, if the exponent were -2 instead of 2 in this part.
Our forth and last expression is . Upon distributing the exponent -5 on all the terms inside the parenthesis, we get:
Therefore, your answer for this part is also correct.
Looking at your work, I don't think you made a mistake in number 3 also, probably mis-typed the question while writing here :)
Answer:
.75 or 3/4
Step-by-step explanation: