Question

What is the slope of the line through (-10,1)(−10,1)left parenthesis, minus, 10, comma, 1, right parenthesis and (0,-4)(0,−4)left parenthesis, 0, comma, minus, 4, right parenthesis?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
-2−2minus, 2

(Choice B)
B
-\dfrac12−
2
1
​ minus, start fraction, 1, divided by, 2, end fraction

(Choice C)
C
222

(Choice D)
D
\dfrac12
2
1
​

Answer 1

slope = - $\frac{1}{2}$ → B

to calculate the slope m between 2 points use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 10, 1 ) and (x₂, y₂ ) = (0, - 4 )

m = $\frac{-4-1}{0+10}$ = $\frac{-5}{10}$ = - $\frac{1}{2}$