Question

Write the equation of the line, in standard form, that has an x-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

To become parallel, equations need to have the same slope for the x-axis. To do that, let's convert the equation to Slope Intercept Form.

2x + y = -5
Subtract y from both sides
2x = -y - 5
Divide both sides by 2.
x = -1/2y - 5/2

The slope is -1/2. Knowing this, we can make this equation.

x = -1/2y + 2

Now, we have to convert that into Standard Form.

x = -1/2y + 2
Add 1/2y to both sides.
x + 1/2y = 2
Multiply everything by 2.
2x + y = 4