Find the slope of the line. A:(3)/(4) B:(4)/(3) C:-(3)/(4) D:-(4)/(3)

Question

Find the slope of the line.

A:
`(3)/(4)`
B:
`(4)/(3)`
C:-
`(3)/(4)`
D:-
`(4)/(3)`

Answer 1

to get the slope of any line, all we need is two points off of it.

so let's see hmmmmmmm this line passes through (0, 1) and hmmmm (4, -2)

`\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-2-1}{4-0}\implies \cfrac{-3}{4}\implies -\cfrac{3}{4}`