Question

Lines r , s , and t are parallel. That means they have the same slope. Each of these lines has a slope of - 2 . Enter numbers to complete an equation for each line.

Answer 1

(a) y = -2 x -2

(b) y = -2 x + 1

(c) y = -2 x + 3

Explanation:

The given lines r , s and t are parallel.

⇒ Slope of line r = Slope of line s = Slope of line t = (-2)

The point slope equation for any line is given as

y = m x + C : m = slope pf line, C is y - intercept.

Y intercept is a point on line when x = 0.

Now for the line r, slope = (-2) and y intercept = (-2)

So, the equation is given as y = -2x -2

Now for the line s, slope = (-2) and y intercept = (1)

So, the equation is given as y = -2 x + 1

Now for the line t, slope = (-2) and y intercept = (3)

So, the equation is given as y = -2 x + 3