Question

Determine the equation of the line that has the same y-intercept as 2x + y + 6 = 0 and is perpendicular to the line on the grid

Answer 1

Answer:

y = 1/2x - 6

Step-by-step explanation:

Change 2x + y + 6 = 0 into slope intercept form (y = mx + b)

y = -2x + 6

The slope of a perpendicular line will be the opposite reciprocal of the slope given so -2 will change to 1/2

plug in the m (1/2) and the b (6) into y = mx + b

y = 1/2x - 6

Answer 2

The equation line that has the same y-intercept as 2x + y + 6 = 0 and is perpendicular to the line on the grid is 2y - x = 8

Equation of a line

The equation of the line in point-slope form is expressed as:

y - y1 = -1/m(x-x1)

m is the slope

GIven the equation 2x + y + 6 = 0

y = -2x -6

m = -2

The point on the line is (0, 4)

Substitute

y - 4 =-1/-2 (x - 0)

2()y -4) = x

2y - x = 8

Hence the equation line that has the same y-intercept as 2x + y + 6 = 0 and is perpendicular to the line on the grid is 2y - x = 8

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