QuestionFind the slope-intercept equation of the line that has the given characteristics. Slope 9.5 and $y$ -intercept $(0,-5)$
The slope-intercept equation $y=$ $\square$ (Use integers or decimals for any numbers in the expression.)

Studdy Solution

STEP 1

1. We are given the slope of the line, which is 9.5.
2. We are given the $y$ -intercept of the line, which is the point $(0, -5)$ .
3. We need to find the slope-intercept form of the equation of the line.

STEP 2

1. Understand the slope-intercept form of a line.
2. Substitute the given slope and $y$ -intercept into the slope-intercept form.

STEP 3

Understand the slope-intercept form of a line.
The slope-intercept form of a line is given by the equation:
$y = mx + b$
where $m$ is the slope and $b$ is the $y$ -intercept.

STEP 4

Substitute the given slope and $y$ -intercept into the slope-intercept form.
Given: - Slope $m = 9.5$ - $y$ -intercept $b = -5$
Substitute these values into the equation:
$y = 9.5x - 5$
The slope-intercept equation of the line is:
$y = 9.5x - 5$

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