Question

61 un o 41 3 2 X -6 -5 -4-3 -2 -1 0 -1 1 2 3 4 5 6 -2 -3 --4 -5 -61 19) Which of the following equations represents the line above? © y = {x + 2 A y = {x + 2 8 y = {x-3 O y = {x-3

Answer 1

The equation of a line in the slope intercept form is expressed as

y = mx + c

Where

m represents slope

c represents y intercept(This is the point where the line cut across the y axis.

The first step is to find the slope. The formula is

Slope, m = (y2 - y1)/(x2 - x1)

From the given points on the graph,

when x1 = 0, y1 = 2

when x2 = 3, y2 = 4

m = (4 - 2)/(3 - 0)

m = 2/3

Looking at the graph, at the point where the line cuts the y axis, y = 2. Thus, c = 2

We would substitute m = 2/3 and c = 2 into the slope intercept equation. Thus, the equation of the line is

y = 2x/3 + 2

The correct option is A