slope = - [tex]\frac{2}{3}[/tex]
calculate the slope m using the gradient formula
m= (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (- 3, 6)
m = [tex]\frac{6-4}{-3-0}[/tex] = [tex]\frac{2}{-3}[/tex] = - [tex]\frac{2}{3}[/tex]
answer: [tex]-\frac{2}{3}[/tex]
work:
subtract the y values over the x values to solve, you can use this formula:
[tex]\frac{y_{1} - y_{2} } {x_{1} - x_{2} }[/tex]
so, enter your values into the equation:
[tex]\frac{6}{-3} - \frac{4}{0}[/tex]
now, simplify.
[tex]\frac{2}{-3}[/tex]
so, the slope is [tex]-\frac{2}{3}[/tex].
i hope this helps, and have a great day! don't hesitate to ask if you need more help with this specific question! ♥ - eviezoom
