Question

question
find the y-intercept of the line represented by the equation below.
( y = \frac{5}{4}x + 2 )
answer
answer:

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is $y = mx + b$, where $m$ is the slope of the line and $b$ is the $y$-intercept. The $y$-intercept is the value of $y$ when $x = 0$, and it is also the point where the line crosses the $y$-axis.

Step2: Identify $b$ in the given equation

The given equation is $y=\frac{5}{4}x + 2$. Comparing this with the slope - intercept form $y=mx + b$, we can see that $m=\frac{5}{4}$ (the slope) and $b = 2$ (the $y$-intercept).

Answer:

The $y$-intercept of the line represented by the equation $y=\frac{5}{4}x + 2$ is $2$.