Put the following equation of a line into slope-intercept form, simplifying all fractions.
2y-6x=10
To put the equation 2y - 6x = 10 into slope-intercept form, we want to isolate y on one side of the equation.
First, let's move the -6x term to the right side by adding 6x to both sides:
2y - 6x + 6x = 10 + 6x
Simplifying, we get:
2y = 6x + 10
Now, divide both sides of the equation by 2 to solve for y:
2y/2 = (6x + 10)/2
This simplifies to:
y = (6/2)x + 10/2
Further simplifying, we have:
y = 3x + 5
Therefore, the equation 2y - 6x = 10 in slope-intercept form is y = 3x + 5.