Question

Write the slope intercept form of the equation of the line

Answer 1

Answer:

`y = (4)/(3) x + 1` which is option d

Step-by-step explanation:
The general form of the linear equation is:
y = mx + c
where:
m is the slope
c is the y-intercept

1- getting the slope:
To get the slope, we need to have two points that belong to the line.
From the graph, we can get the following points:
(0,1) and (1.5,3)
The slope can be calculated as follows:

`slope (m) = (y2-y1)/(x2-x1) = (3-1)/(1.5-0) = (4)/(3)`

Therefore, the equation of the line now is:

`y = (4)/(3) x + c`

2- getting the y-intercept:
To get the y-intercept, we will simply use a point that belongs to the line, substitute in the equation and solve for c. I will use the point (0,1) as follows:

`y = (4)/(3) x + c`

1 = (4/3)(0) + c
c = 1

Based on the above, the equation of the line given is:

`y = (4)/(3) x + 1`

Hope this helps :)