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nikklg [1K]
3 years ago
7

Find the equation of the line that passes through the points (-4,-2) and (-3,5) in both point-slope form and

Mathematics
1 answer:
kaheart [24]3 years ago
6 0
<h2>Answer:</h2>

First, we must determine the slope, then we find the y-intercept using slope formula and slope-intercept form.

<u>For slope:</u>

<u />m = \frac{5 + 2}{-3 + 4} = \frac{7}{1} = 7<u />

Slope (m) = 7

<u>For y-intercept:</u>

<u />5 = 7(-3) + b\\\\5 = -21 + b\\\\26 = b<u />

Y-intercept (b) = 26

Using this information, we can now create the equations for this line.

y= 7x + 26\\\\y - 5 = 7(x + 3)

Formulas:

Slope formula: <em>y₂ - y₁/x₂ - x₁</em>

Slope-intercept form: <em>y = mx + b</em>

Point-slope form: <em>y - y₁ = m(x - x₁)</em>

<em></em>

*Note: (x₁, y₁), (x₂, y₂) = <em>2 points on the line</em>

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