Question

find the y-intercept of the line represented by the equation below.
$-dfrac{3}{5}x + 4 = y$

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept.

Step2: Identify the $y$-intercept

Given the equation $y=-\frac{3}{5}x + 4$, comparing it with $y=mx + b$, we can see that $b = 4$. So the $y$-intercept is the value of $y$ when $x = 0$. If we substitute $x = 0$ into the equation $y=-\frac{3}{5}(0)+4$, we get $y = 4$.

Answer:

The $y$-intercept is $4$ (or the point is $(0,4)$)