Question

Graph the line that represents each linear equation.

1. y - 2 = 2(x + 3)
2. y + 3 = -2(x + 1)
3. y + 1 = -(x + 5)​

Answer 1

see attached

Explanation:

You want to graph the lines described by the equations ...

1. y - 2 = 2(x + 3)
2. y + 3 = -2(x + 1)
3. y + 1 = -(x + 5)​

Point-slope form

The point-slope form of the equation of a line is ...

y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

Graph

The point coordinates and slope can be read from the equation. When graphing these equations, it works well to plot the point, then draw a line through it that has the required slope (rise/run).

1. point (-3, 2); slope 2
2. point (-1, -3); slope -2
3. point (-5, -1); slope -1

The graphs of these lines are attached. The relevant point is marked on each one.