Question

What is the Slope of the line through (1,9) and (-3,16)

Answer 1

`\huge\boxed{-(7)/(4)}`

Explanation:

Slope formula

`\displaystyle (y_2-y_1)/(x_2-x_1)`

`\displaystyle(16-9)/((-3)-1)=(7)/(-4)=-(7)/(4)`

Therefore, the slope is
`\displaystyle -(7)/(4)`,
`\displaystyle -(7)/(4)` is the correct answer.

Answer 2

`\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{16}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{16-9}{-3-1}\implies \cfrac{7}{-4}\implies -\cfrac{7}{4}`