Question

A table of values of a linear function is shown below. - 2 1 0 1 2 -7 -4 - 1 2 5 Find the y-intercept and slope of the function's graph, and find the equation for the function. . 8 y-intercept: 09 > ? slope: . equation:

Answer 1

The slope intercept equation is

y = mx + b

Where,

m = slope and b = intercept

Slope = Rise / Run

Rise = y2 - y1

Run = x2 - x1

Slope = y2 - y1 / x2 - x1

To calculate the slope, we need to pick two points

(1, 2) and (2, 5)

x1 = 1, y1 = 2, x2 = 2 and y2 = 5

Slope = 5 - 2 / 2 - 1

slope = 3 / 1

Slope = 3

The slope - intercept equation at any given point is

y - y1 = m(x - x1)

m = slope

(y - 2) = 3(x - 1)

Open the parentheses

y - 2 = 3x - 3

Make y the subject of the formula

y = 3x - 3 + 2

y = 3x - 1

Therefore,

The slope is 3, y intercept is -1 and the equation is y = 3x - 1