Question

Graph each equation.
12. y + 3 = 2(x - 1)

Answer 1

Given line in point-slope form:

• y + 3 = 2(x - 1)

Point-slope form is:

• y - y₁ = m(x - x₁), where m - slope, (x₁, y₁) is the point on the line

We know that to graph a line it is enough two have two points.

One of the points is (x₁, y₁) = (1, - 3).

Find one more point, when x = 3:

• y + 3 = 2(3 - 1)
• y + 3 = 4
• y = 1

The point is (3, 1).

Plot and connect these two points to get the line.