Answer:
y = -2x + 7
Explanation:
y = mx + b
m = slope
b = y-intercept
y = a given y coordinate
x = a corresponding x coordinate
First, we need to find the slope (m).
1) (4, -1)
2) (2/3)
m = slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{3-(-1)}{2-4}[/tex] = [tex]\frac{4}{-2}[/tex] = -2
plug in the values to the equation y = mx + b
-1 = -2(4) + b
-1 = -8 + b
7 = b
now, we can substitute in m and b into the equation y = mx + b
y = -2x + 7
