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.

y = -2x + 2

Step-by-step explanation:

line, let's call it line r: has a y-intercept of 2 ⇒ x = 0 ⇒ (0,2) ∈ r

r is parallel to 2x + y = -5 ⇒ they have the same slope.

To find the slope, we have to isolate y ans see the x value:

2x + y = -5

y = -2x - 5

slope (m) = -2

To find r, we use y - y₀ = m(x - x₀), where (x₀,y₀) is any point that ∈ r. In our case (x₀,y₀) = (0,2) and m = -2

y - y₀ = m(x - x₀)

y - 2 = -2(x - 0)

y - 2 = -2x

y = -2x + 2

109 is the nearest whole number/final answer! : )