Question

I'll take a pic of the question

Answer 1

`y=3x+3`

Step-by-step explanation

We want to find the equation of the straight line given on the graph.

The general form of a linear equation is:

`y=mx+b`

where m = slope; b = y-intercept

To find the slope, we apply the formula for slope:

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

where (x1, y1) and (x2, y2) are two points on the line.

Let us pick (-1,0) and (0,3)

The slope is:

`\begin{gathered} m=(3-0)/(0-(-1))=(3)/(0+1) \\ m=(3)/(1) \\ m=3 \end{gathered}`

The y-intercept is the y-coordinate of the point where the line touches the graph.

From the graph, we see that the y-intercept is:

`b=3`

Therefore, the equation of the line is:

`y=3x+3`