Put the following equation of a line into slope-intercept form, simplifying all fractions.
6, x, minus, 10, y, equals, minus, 40
6x−10y=
−40
To put the equation 6x−10y=−40 into slope-intercept form, we need to isolate the variable y on one side of the equation and the constant term on the other side.
First, let's move the 6x term to the other side by subtracting 6x from both sides of the equation:
6x - 6x - 10y = -6x - 40
-10y = -6x - 40
Next, we need to isolate the term with y by dividing both sides of the equation by -10:
-10y / -10 = (-6x - 40) / -10
y = (6/10)x + 4
Simplifying the fraction, we get:
y = (3/5)x + 4
Therefore, the equation 6x−10y=−40 in slope-intercept form is y = (3/5)x + 4.