Find an equation for a line given the slope and a point
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:
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
Now, solve the equation for b
The final step is to replace all the variables in the slope-intercept form with the known values.
The equation of the line is: