10-2y=6x
what is the question?
find the slope and y-intercept for the following two equations
10-2y=6x
Put the equation in the form y=mx+b
The 'm' will be the slope and the 'b' will be the y-intercept.
To solve the equation 10 - 2y = 6x, we need to rearrange it to solve for either x or y. Let's solve for y.
Step 1: Begin by isolating the term with y on one side of the equation. Add 2y to both sides of the equation to remove the constant term from the left side:
10 - 2y + 2y = 6x + 2y
Simplifying the equation gives:
10 = 6x + 2y
Step 2: Now, isolate the term with x on one side of the equation. Subtract 6x from both sides:
10 - 6x = 6x + 2y - 6x
Simplifying the equation further yields:
10 - 6x = 2y
Step 3: Divide both sides of the equation by 2 to isolate y:
(10 - 6x) / 2 = 2y / 2
Simplifying the equation gives:
5 - 3x = y
Therefore, the equation 10 - 2y = 6x is equivalent to y = 5 - 3x.