Answer:
1) 1/4
2) 3/5
Step-by-step explanation:
1) The rate of change is basically the slope, and you can find the slope by doing:
change in y/change in x
I started with the point (0,-2) because it's on the line
It goes up 1 and left 4 to get to the second point on the line
So change in y/change in x = 1/4 (this is the rate of change)
2) This is basically the same thing, but you need to do some subtraction.
Change in y = -9-(-3) = -6
Change in x = -5 - 5 = -10
Change in y/change in x = 3/5 (this is the slope or rate of change)
Answer:
y = -6
Step-by-step explanation:
6 + 6y = -30
6y = -30 - 6
6y = -36
y = -6
First, change the given equation to slope-intercept form:
4y = 3x + 4
y = (3/4)x + 1
Because the line we are trying to write the equation for is parallel to the above line, the new line must have the same slope (3/4).
We can then substitute (4, 0) to find the y-intercept (b):
0 = (3/4) * 4 + b
0 = 3 + b
-3 = b
Our y-intercept is -3
We can now write the whole equation:
y = (3/4)x - 3
Your final answer is y = (3/4)x - 3
Hope this helps!! Let me know if you have ANY questions.
25 is the greatest common factor of 75 and 25. 3 x 25 = 75.
