Problem

Find the equation of the line with Slope $=-\frac{4}{3}$ passing through the point $(-12,28)$. Write your answer in the form $y=m x+b$. Answer: $y=$ $x+$ Write your answers as integers or as reduced fractions in the form A/B.

Solution

Step 1 :Given the slope (m) of the line is -4/3 and the line passes through the point (-12,28).

Step 2 :We can use the point-slope form of a line equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line.

Step 3 :Substitute the given values into the equation: y - 28 = -4/3(x - (-12)).

Step 4 :Simplify the equation to get the y-intercept (b) form: y = -4/3x + 12.

Step 5 :\(\boxed{y=-\frac{4}{3}x+12}\) is the equation of the line.

From Solvely APP
Source: https://solvelyapp.com/problems/0iZrV0dIYB/

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