Answer:
x=-1
Step-by-step explanation:
General equation of line is y=mx+n where m is slope. So, if we use point (-4, 8) and slope in equation we have 8= 2/3.(-4)+n
Then we have n=8+8/3, that is n=32/3
Therefore equation of our line is y=2/3.x + 32/3
For the point (x,10) in equation 10=2/3.x + 32/3
Then we have 2/3.x = - 2/3 then x= -1
Answer:
x = - 1
Step-by-step explanation:
Using the slope formula to find the slope m
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (x , 10) and (x₂, y₂ ) = (- 4, 8)
m = [tex]\frac{8-10}{-4-x}[/tex] = [tex]\frac{2}{3}[/tex], that is
[tex]\frac{-2}{-4-x}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
2(- 4 - x) = - 6 ( divide both sides by 2 )
- 4 - x = - 3 ( add 4 to both sides )
- x = 1 ( multiply both sides by - 1 )
x = - 1
