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

Answer 1

Use the given equation 2x + y = - 5 to find the slope. Since parallel lines have equal slopes, it will be the slope of the required line.

2x + y = - 5 Write the slope- intercept form ( y = mx + b ) of the equation

y = -2x - 5 ; is the slope- intercept form of the equation

So the slope of both lines is -2

Using slope of -2 and y intercept of 2,

y = -2x + 2 ( slope - intercept form )

or 2x + y = 2 ( standard form )

is the equation of the required line

Answer 2

Taking the initial equation, it can be manipulated to find the slope.

2x+y=-5 Subtract 2x from both sides.

2x+y-2x=-5-2x Simplify

y=-2x-5 The slope of this line is -2, the slope of a line parallel this one is the same, -2.

The slope intercept form of a line is y=mx+b, where m is the slope and b is the y intercept.

We have the slope, the problem says the y intercept needs to be 2. The equation would be:

y=-2x+2