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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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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=−7−(−6)4−0=−14m = \frac{-7 - (-6)}{4 - 0} = \frac{-1}{4}
Substitute these values into the formula:

Final Answer

The equation of the line is
y=−14x−6y = \frac{- 1}{4}x - 6
.

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