Question

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

Answer 1

Equation: 2x + y = 2

When two lines are parallel the slope is the same and since the y-intercept is 2 then the Equation would be 2x + y = 2.

Hope this helps : )

Answer 2

Ok, we know the y-intercept of the target equation, so we just need to find the slope.
To find the slope, solve for y
2x + y = -5
y = -2x - 5
The slope is -2
so, the equation is y = -2x + 2