Question1. Identify the slope and $y$ -intercept in the linear equation $y=3 x-13$ $Y=M x+b \quad M=3 \quad b=-13$

Studdy Solution

STEP 1

1. The equation given is in the slope-intercept form of a linear equation.
2. The slope-intercept form is generally expressed as $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.

STEP 2

1. Identify the slope ( $m$ ) from the equation.
2. Identify the y-intercept ( $b$ ) from the equation.

STEP 3

Identify the slope ( $m$ ) from the equation $y = 3x - 13$ .
The slope-intercept form is $y = mx + b$ . Here, $m$ is the coefficient of $x$ .
From the given equation $y = 3x - 13$ , we can see that the coefficient of $x$ is $3$ .
Therefore, the slope $m$ is $3$ .

STEP 4

Identify the y-intercept ( $b$ ) from the equation $y = 3x - 13$ .
In the slope-intercept form $y = mx + b$ , $b$ is the constant term.
From the given equation $y = 3x - 13$ , the constant term is $-13$ .
Therefore, the y-intercept $b$ is $-13$ .
The slope is $\boxed{3}$ and the y-intercept is $\boxed{-13}$ .

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