Question

What is the slope of the graph below? (SHOW YOUR WORK)

b. What is the y-intercept?
c. What is the equation of the graph below written in slope intercept form?

Answer 1

slope = 2

y - intercept = 3

equation is, y = 2x + 3

Explanation:

y - intercept is the point in the graph where the line touches the y - axis

thus, as shown in the graph:

y - intercept = 3

let's take the two co - ordinates given in the graph:

x1, y1 = 1, 5

x2, y2 = 0, 3

slope, m = y2 - y1 / x2 - x1

= 3 - 5 / 0 - 1

= -2/-1 = 2

the equation of the line is,

y = mx + b

where m is the slope, and

constant, b is the y - intercept

thus, the equation of the line is:

y = 2x + 3