Find the linear function, $f(x)=m x+b$, whose graph has the given slope and $y$-intercept.
Slope is $-\frac{17}{13}$ and $y$-intercept is $(0,-3)$.
The linear function is $f(x)=$

Answer

Expert–verified

Hide Steps

Answer

Final Answer: The equation of the line is $\boxed{f(x) = -\frac{17}{13}x - 3}$.

Steps

Step 1 ：We are given the slope $m$ and the y-intercept $b$. The slope-intercept form of the line is $f(x) = mx + b$.

Step 2 ：Substitute the given values into this equation to find the equation of the line.

Step 3 ：Given: $m = -\frac{17}{13}$, $b = -3$

Step 4 ：Substitute these values into the equation: $f(x) = -\frac{17}{13}x - 3$

Step 5 ：Final Answer: The equation of the line is $\boxed{f(x) = -\frac{17}{13}x - 3}$.