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Ivanshal [37]
10 months ago
6

find the slope of the line containing the points (-1,6) and (3,5) put final.answer in slope-intercept form

Mathematics
1 answer:
Ugo [173]10 months ago
3 0

Given the points (-1,6) and (3,5).

The formula to find the slope is

m=\frac{y_2-y_1_{}}{x_2-x_1}

Take

x_1=-1,y_1=6,x_2=3,y_2=5

Plug the values into the formula and find the slope.

\begin{gathered} m=\frac{5-6}{3-(-1)} \\ =\frac{-1}{4} \end{gathered}

The slope-intercept form is y = mx+b.

Plug the value of m.

y=-\frac{1}{4}x+b

ThusConsider the point (-1,6). Substitute -1 for x and for y into the equation.

\begin{gathered} 6=-\frac{1}{4}(-1)+b \\ =\frac{1}{4}+b \\ b=6-\frac{1}{4} \\ =\frac{23}{4} \end{gathered}

Thus, the equation of the line in slope intercept form is

y=-\frac{1}{4}x+\frac{23}{4}

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