a line that passes through the point (2,7) and is parallel to the line y=-2x+5

Answer 1

Equation of line is y=mx+b, where m is the slope of the line.

For y=-2x+5, m = -2, so the slope of that line is -2.

The slope of any line parallel to that line will have the same slope, so the slope of the line whose equation we are trying to find is also -2.

So far for our other line, we have y=-2x + b. We need to determine b, We can do that because we are given a point (2,7) that the line passes through. We substitute 2 for x and 7 for y in the above equation and solve for b:

7 = -2(2) + b

7 = -4 + b

11 = b

So the equation of the line is y = -2x + 11

Answer 2

1. If the line is parallel, than that means the slopes are the same, so m = -2
2. y = -2(x) + b Use the point to plug in for x and y and solve for b
3. 7 = -2(2) + b
4. 7 = -4 + b
5. 11 = b
6. Equation of the line is: y = -2(x) +11