Answer:
y = -2/3 x + 1/3
Explanation:
Use the slope-intercept linear formula: y = mx + b
x and y represent point on the line
m is the slope
b is the y-intercept
The equation of the line requires "m" and "b". We already have "m".
Substitute point (-4, 3) and slope -2/3 into the formula. x=-4; y=3; m=-2/3. Find b by isolating the variable.
y = mx + b
3 = (-2/3)(-4) + b Simplify
3 = 8/3 + b Subtract 8/3 from both sides
b = 1/3
Put b = 1/3 into the formula.
y = -2/3 x + 1/3