# Find an equation for a line given the slope and a point

by Stephanie

(Canada)

**Question**

Find an equation for a line with a slope of 2/3 and passing through (1, –4).

**Answer**

**STEP 1: **We are given the slope and a point through which the line passes. With these values, and the

slope-intercept form, the equation of the line can be determined. By the slope-intercept form, we refer to an equation of the form:

* y = mx + b*Make a note of what each variable in the equation stands for:

Use

^{2}/

_{3} for

*m* in the equation.

**STEP 2: **The value of b is still unknown. Since the line is said to pass through (1, –4), we can substitute the respective values for

*x* and

*y*.

**STEP 3:** Now, solve the equation for

*b*.

**STEP 4:** The final step is to replace all the variables in the slope-intercept form with the known values.

The equation of the line is: