Find the slope and the \( y \)-intercept of the line with the following equation.
\[
y=\frac{3}{4} x-10
\]
Find the slope of the line. Select the correct choice below and, if necessary, fill in the answer box
A. The slope is (Type an integer or a simplified fraction.)
B. The slope is undefined

Answer

Expert–verified

Hide Steps

Answer

Hence, A. The slope is \(\frac{3}{4}\). The \(y\)-intercept is -10.

Steps

Step 1 ：The equation of a line can be written in the form \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\)-intercept.

Step 2 ：Given the equation \(y = \frac{3}{4}x - 10\), we can see that the slope \(m = \frac{3}{4}\) and the \(y\)-intercept \(b = -10\).

Step 3 ：Hence, A. The slope is \(\frac{3}{4}\). The \(y\)-intercept is -10.