Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Mar 06, 2024

Find the y-intercept of the linear equation $y=\frac{3}{2}x-4$ . Enter the value that correctly fills the blank.

STEP 1

Assumptions
1. The equation given is in the slope-intercept form, which is $y = mx + b$ , where $m$ is the slope and $b$ is the $y$ -intercept.
2. The equation provided is $y = \frac{3}{2}x - 4$ .

STEP 2

Identify the $y$ -intercept in the given equation.
The $y$ -intercept is the value of $y$ when $x = 0$ . In the slope-intercept form of a linear equation, the $y$ -intercept is represented by the constant term $b$ .

STEP 3

Extract the $y$ -intercept from the given equation.
In the equation $y = \frac{3}{2}x - 4$ , the constant term $-4$ is the $y$ -intercept.

STEP 4

State the value of the $y$ -intercept.
The $y$ -intercept in the linear equation $y = \frac{3}{2}x - 4$ is $-4$ .
The value that correctly fills in the blank is -4.

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