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.

Answer

Expert–verified

Hide Steps

Answer

$\boxed{y=-\frac{4}{3}x+12}$ is the equation of the line.

Steps

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.