Find the slope of the line that passes through (-2,-3) and (1,1)
1/3
1
2*****
4/3
For the equation -4y=8x what is the constant variation?
-4
-2****
1
2
Please check my answers
try again on the 1st one
the slope formula does work
3x+y=-1
To find the slope of a line passing through two points, you can use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
For the first question, we have two points (-2,-3) and (1,1). Let's calculate the slope using the formula:
change in y-coordinates = 1 - (-3) = 1 + 3 = 4
change in x-coordinates = 1 - (-2) = 1 + 2 = 3
slope = 4/3
So the correct answer for the first question is 4/3, not 2.
For the second question, we have the equation -4y = 8x. In this equation, the constant variation (also known as the y-intercept) is the value that y takes when x equals zero.
Substituting x = 0 into the equation, we get:
-4y = 8(0)
-4y = 0
y = 0
Therefore, the constant variation is 0. So the correct answer for the second question is 0, not -2.
Please note that the correct answers are marked with asterisks (*****).