Question

A line is drawn so that is passes through the points (-4,0) and (2,3) what is the slope of the line


-1/2

1/2

-2

2

Answer 1

you would use the form y2-y1/x2-x1 so in this case it would be 3-0/2+4 which would be 3/6 but simplify your answer and you get would be 1/2 so your answer is 1/2

Answer 2

slope = $\frac{1}{2}$

to calculate the slope m use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 0 ) and (x₂, y₂ ) = (2, 3)

m = $\frac{3-0}{2+4}$ = $\frac{3}{6}$ = $\frac{1}{2}$