3 years ago

Can you help me find the slope! (30 points)

Mathematics

2 answers:

slavikrds [6]3 years ago

8 0

Slope formula = y2 - y1 / x2 - x1

-1 - 0.5 = -1.5
-5 - 2.5 = -7.5
-1.5/-7.5 = .2

.2 simplified is 1/5

elena-s [515]3 years ago

5 0

Answer:

1/5

Step-by-step explanation:

change of y over change of x will get you 1.5/7.5 which is 0.2 or 1/5

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How do you find the equation for the line that is parallel to the line y=2/3x-7 and passes through the point (3,-1)

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parallel lines have the same exact slope hmmm what's the slope of y = 2/3x-7 anyway? well, low and behold, is already in slope-intercept form, therefore

$\bf \stackrel{\textit{slope-intercept form}}{y=\stackrel{slope}{\cfrac{2}{3}}x-7}$ .

so we're really looking for the equation of a line whose slope is 2/3, and runs through 3, -1.

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{-1})~\hspace{7em} slope = m\implies \cfrac{2}{3} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-1)=\cfrac{2}{3}(x-3) \\\\\\ y+1=\cfrac{2}{3}x-2\implies y=\cfrac{2}{3}x-3$