Answer:
y-intercept = (0, 4)
x-intercept = (3/4, 0)
Step-by-step explanation:
1 - Find the slope
[tex]slope = m = \frac{rise}{run} = \frac{y_2~-~y_1}{x_2~-~x_1} = \frac {-11-10}{5-(-2)} = \frac {-21}{7} = -3[/tex]
2 - Plug the slope into y = mx + b and substitute a point into x and y to find the y-intercept, b, by isolating it.
y = mx + b
y = -3x + b
10 = (-3)(-2) + b
10 = 6 + b
-6 -6
4 = b
y-intercept = (0, 4)
3 - Rewrite the completed formula
y = -3x + 4
4 - Substitute 0 in for y to find the x-intercept
0 = -3x + 4
-4 - 4
-4 = -3x
-4/-3 = -3x/-3
4/3 = x
x-intercept = (4/3, 0)
