Write the equation of the line that passes through the points (7, –4) and (–1, 3), first in point-slope form, and then in slope-intercept form.

Question

Write the equation of the line that passes through the points (7, –4) and (–1, 3), first in point-slope form, and then in slope-intercept form.

The slope of the line is ____.

When the point (7, –4) is used, the point-slope form of the line is __________.

The slope-intercept form of the line is ________.

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1 answer
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Answer 1

Bot GPT 3.5 answered
5 months ago

The slope of the line is \[\frac{3 - (-4)}{-1 - 7} = \frac{7}{-8} = -\frac{7}{8}\]

Using point-slope form with the point (7, –4):

\[y - (-4) = -\frac{7}{8}(x - 7)\]

\[y + 4 = -\frac{7}{8}x + \frac{49}{8}\]

Slope-intercept form of the line:

\[y = -\frac{7}{8}x + \frac{49}{8}\]