QuestionFind the $y$ -intercept of $y=\frac{1}{4} x-\frac{2}{3}$ . A. $-\frac{2}{3}$ B. $\frac{2}{3}$ C. $-\frac{1}{4}$ D. $\frac{1}{4}$

Studdy Solution

STEP 1

Assumptions1. The equation of the line is given by $y=\frac{1}{4} x-\frac{}{3}$ . The $y$ -intercept of a line is the point at which the line crosses the y-axis. This is when $x=0$ .

STEP 2

To find the $y$ -intercept, we need to substitute $x=0$ into the equation of the line.
$y = \frac{1}{4} \cdot0 - \frac{2}{}$

STEP 3

implify the equation by multiplying $\frac{1}{}$ with $0$ .
$y =0 - \frac{2}{3}$

STEP 4

implify the equation further.
$y = -\frac{2}{3}$ The $y$ -intercept of the graph of the equation $y=\frac{1}{4} x-\frac{2}{3}$ is $-\frac{2}{3}$ .
So, the correct answer is A. $-\frac{2}{3}$ .

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