Question

Put the following equation of a line into slope-intercept form, simplifying all fractions. 3, x, plus, 9, y, equals, 63 3x+9y= 63

Answer 1

To put the equation 3x + 9y = 63 into slope-intercept form (y = mx + b), where "m" is the slope and "b" is the y-intercept, follow these steps:

First, subtract 3x from both sides of the equation:

3x + 9y - 3x = 63 - 3x

This simplifies to:

9y = -3x + 63

Now, divide both sides of the equation by 9 to isolate y:

(9y) / 9 = (-3x + 63) / 9

This simplifies to:

y = (-1/3)x + 7

So, the equation 3x + 9y = 63 in slope-intercept form is:

y = (-1/3)x + 7

Explanation: