Question

Write the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to 2x + y = -5. 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

okay so this is simple y=2+2x, why because when lines are parallel they have the exact same slope. and the y intercept isn't y its the number placed by x so hope this helped have a great day

Answer 2

Standard form of a line is Ax + By = C. But we have some work to do to get there first. If the new line is parallel to the given line, that means that their slopes are the same. So we have to find the slope of the given line. That means that we need to solve it for y. Doing that gives us y = -2x - 5. The slope of that line is -2, so the slope of the new line is also -2. If we have a y intercept of 2, then the equation in slope-intercept form is y = -2x + 2. Now we need to put that into standard form. That means get the x and the y on the same side of the equals sign. 2x + y = 2. That's your equation. There you go!