Question

Write the standard form of the line with the given information. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution. The line containing a slope of 3 and a y-intercept of -2.

Answer 1

3x -y = 2

Explanation:

Since you are given a slope and y-intercept, the slope-intercept form of the equation of a line is a good place to start. For slope m and y-intercept b, that equation is ...

... y = mx + b

For your values, the equation is ...

... y = 3x -2

Standard form is the form ...

... ax + by = c

where a, b, c are mutually prime and "a" is positive. We can get this form by adding 2-y to the slope-intercept equation.

... y + (2-y) = (3x -2) + (2-y)

... 3x - y = 2 . . . . . . simplify, swap sides