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
`(1)/(2)`.)

`\begin{aligned}y&=mx+b&&\smash\Big&&\text{Start with slope-intercept form.}\\y&=(1)/(2)x+3&&\smash\Big&&\text{Substitute in the known values.}\\-(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}`