Put the following equation of a line into slope-intercept form, simplifying all fractions.
2, x, minus, 10, y, equals, minus, 20
2x−10y=
−20
To put the equation of the line into slope-intercept form, we need to isolate y on one side of the equation.
2x - 10y = -20
First, we want to move the variable term (2x) to the other side of the equation by subtracting 2x from both sides:
-10y = -2x - 20
Next, we want to express y alone, so we divide the entire equation by -10 to simplify the fraction:
y = (2/10)x + 2
Finally, we simplify the fraction 2/10 by dividing both the numerator and denominator by 2:
y = (1/5)x + 2
Therefore, the equation in slope-intercept form is y = (1/5)x + 2.