Answer:
Step-by-step explanation:
Givens
line: 5y + 2x = 10
point (-2 , 5)
Discussion and Solution
You have to rearrange the given line to get the slope. It isn't nice, but it's not impossible.
5y + 2x = 10 Subtract 2x from both sides
5y + 2x - 2x = -2x + 10 Simplify
5y = - 2x + 10 Divide by 5
5y/5 = -2x/5 + 10/5 Simplify
y = -0.4x + 2
So the new equation is going to have a slope of - 0.4
So far what you have is
y = - 0.4x + b
Now use the point to find the y intercept. What you should be thinking about the point is that when x = -2 then y = 5. Substitute that into the new equation.
5 = -0.4*-2 + b
5 = 0.8 + b Subtract 0.8 from both sides
5 - 0.8 = 0.8 - 0.8 + b Simplify
4.2 = b
Answer
y = -0.4x + 4.2
