Question

find the y-intercept of the line represented by the equation below.
$y = -5 + \frac{1}{4}x$
answer
answer: |

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept (the value of $y$ when $x = 0$).

Step2: Rewrite the given equation

The given equation is $y=-5+\frac{1}{4}x$, which can be rewritten as $y=\frac{1}{4}x - 5$.
Comparing this with the slope - intercept form $y = mx + b$, we can see that when $x = 0$, $y=b$. Here, $b=-5$.

Answer:

-5