Expert: Bobby Soltani - 10/9/2009

Question
Find the slope of a line determined by the equation:

x+y/-3+13=9.

Answer in simplest form, please.

Answer
Hi Catinna,

One way we can find the slope of an equation is to arrange the equation in slope-intercept form:

y = mx + b

This is called the slope-intercept form because "m" is the slope and "b" gives the y-intercept for the line formed by the equation.

Here we have:  x+y/-3+13=9

we need to rearrange the equation to look like y = mx + b by performing operations to both sides.

x+y/-3+13=9

subtract 13 from both sides

x + y/-3 = -4

subtract x from both sides

y/-3 = -x - 4

multiply both sides by -3

y = 3x + 12

now, the equation is in slope-intercept form, with the slope (m) equal to 3.

Let me know if you have any questions.

Good luck,

Bobby