Question

Identify the slope of each of the following equations.

(a) y = 4/5x + 3
(b) y = -x + 1
(c) y = 2x
And what is the y-intercept of equation (c)?

Answer 1

Please see the explanation.

Explanation:

As we know that the slope-intercept form of the equation is

`y=mx+b`

• where m is the slope
• b is the y-intercept

Now, comparing the given equations with the slope-intercept form

a) y = 4/5x + 3

Here:

m = 4/5

Therefore, the slope of the equation y = 4/5x + 3 is: m = 4/5

b) y = -x + 1

Here:

m = -1

Therefore, the slope of the equation y = -x + 1 is: m = -1

b) y = 2x

Here:

m = 2

y-intercept = b = 0 ∵ y = mx+b here b is the y-intercept

Therefore, the slope of the equation y = 2x is:

m = 2 and

y-intercept = b = 0