Question

The equation of the line in this graph is y =
x +
.

Answer 1

`y=(3)/(2)x+3`

Explanation:

We have been graph of a line and we are supposed to find the equation for our given line.

We will write our given equation in slope-intercept form
`y=mx+b`, where,

m = Slope of line,

b = The y-intercept.

Now, we will substitute slope of line using slope formula.

`m=(y_2-y_1)/(x_2-x_1)`

Upon substituting the coordinates of points
`(-2,0)` and
`(0,3)` in slope formula, we will get:

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

`m=(-3)/(-2)`

`m=(3)/(2)`

We can see that y-intercept of our given line is 3. So the equation for our given line would be
`y=(3)/(2)x+3`.

Answer 2

The y intercept is at +3 and the slope is 3/2 so its

y = 3/2x + 3