Answer:
The y-intercept = (0, 13/7).
The x-intercept = (13/3, 0).
To the nearest tenth they are
y-intercept (0, 1.9)
x-intercept (4.3, 0)
Explanation:
First find the equation oif the line joining these points:
Slope of line = (4 - (-2)) / (-5-9))
= 6/-14
= -3/7
y - y1 = m(x - x1)
Using m = -3.7 and (x1, y1) = (-5, 4)
y - 4 = -3/7(x - (-5)
y = -3/7x -15/7 + 4
y = -3/7x + 13/7 is the equation of the line.
The y-intercept (when x = 0)
= 0 + 13/7
= (0, 13/7)
The x-intercept:
0 = -3/7x + 13/7
x = -13/7 / -3/7
= 13/3.
x intercept is (13/3, 0)