(-2,80)
(-1,70)
(2,40)
(5,10)
find the y intercepts for this graph
To find the y-intercept for a graph, we need to determine the value of y when x is equal to 0.
Given the points:
(-2, 80)
(-1, 70)
(2, 40)
(5, 10)
We can see that the point where x is closest to 0 is (-1, 70). Therefore, we can consider this point to determine the y-intercept.
When x = 0, the y-coordinate is found by substituting x = 0 into the equation of the line passing through (-1, 70) and any other point on this line.
We can calculate the equation of the line using the slope formula:
Slope (m) = change in y / change in x = (y2 - y1) / (x2 - x1)
= (70 - 80) / (-1 - (-2))
= (-10) / 1
= -10
Using the point-slope form:
y - y1 = m(x - x1)
y - 70 = -10(x - (-1))
y - 70 = -10(x + 1)
y - 70 = -10x - 10
y = -10x + 60
Substituting x = 0 into this equation:
y = -10(0) + 60
y = 0 + 60
y = 60
Therefore, the y-intercept is 60.