Question

Find the slope of the line using the points (0,4) and (-3,6)

Answer 1

answer: $-\frac{2}{3}$

work:

subtract the y values over the x values to solve, you can use this formula:

$\frac{y_{1} - y_{2} } {x_{1} - x_{2} }$

so, enter your values into the equation:

$\frac{6}{-3} - \frac{4}{0}$

now, simplify.

$\frac{2}{-3}$

so, the slope is $-\frac{2}{3}$.

i hope this helps, and have a great day! don't hesitate to ask if you need more help with this specific question! ♥ - eviezoom

Answer 2

slope = - $\frac{2}{3}$

calculate the slope m using the gradient formula

m= (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (- 3, 6)

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