QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
Find the equation of the line.
Use exact numbers.
A coordinate plane. The x- and y-axes each scale by one. A graph of a line goes through the points zero, negative six and four, negative seven.
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Answer
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Step 1:: Identify the slope-intercept form of a linear equation
The equation of a line in slope-intercept form is given by $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.
In this problem, we are asked to find the equation of a line given two points it passes through.
Step 2:: Find the slope of the line
m = \frac{-7 - (-6)}{4 - 0} = \frac{-1}{4}
Substitute these values into the formula:
Step 3:: Find the y-intercept of the line
b = y - mx = -6 - \left(\frac{-1}{4}\right)(0) = -6
We'll use the point $(0, - 6)$:
Step 4:: Write the equation of the line
y = \frac{-1}{4}x - 6
Now that we have both the slope and the y-intercept, we can write the equation of the line in slope-intercept form:
Final Answer
The equation of the line is y = \frac{- 1}{4}x - 6.
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