The table shows several pairs of X minus and Y value for a linear relationship
X Y
-4. -10
-1. -3
2. 4
5. 11
Create an equation in slope, intercept that can be used to model the relationship move the correct answer to each block not all answers will be used
-5 1/3
-2 4/7
-2/3
3/7
2/3
7/3
The equation in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
First, calculate the slope:
m = (change in y) / (change in x) = (4 - (-10)) / (2 - (-4)) = 14 / 6 = 7 / 3
Now, substitute the slope and one of the points in the equation:
-10 = (7/3)(-4) + b
-10 = -28/3 + b
b = -10 + 28/3
b = -30/3 + 28/3
b = -2/3
Therefore, the equation that models the relationship is:
y = (7/3)x - 2/3
The slope is 7/3 and the y-intercept is -2/3.