Question

Write the standard form of the line that contains a slope-intercept of 1/2 and a y -intercept of 3. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

Answer 1

$\huge\boxed{x-2y=-6}$

Hey there! We can solve this problem by setting up the equation in slope-intercept form and changing it into standard form.

(I'm assuming that the problem meant the slope is $\frac{1}{2}$.)

$\begin{aligned}y&=mx+b&&\smash{\Big|}&&\text{Start with slope-intercept form.}\\y&=\frac{1}{2}x+3&&\smash{\Big|}&&\text{Substitute in the known values.}\\-\frac{1}{2}x+y&=3&&\smash{\Big|}&&\text{Move the variables to the left.}\\x-2y&=-6&&\smash{\Big|}&&\text{Multiply everything by -2 .}\end{aligned}$