Question

I'll take a pic of the question

Answer 1

ANSWER

$y=3x+3$

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:

$m=\frac{y_2-y_1}{x_2-x_1}$

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

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

The slope is:

$\begin{gathered} m=\frac{3-0}{0-(-1)}=\frac{3}{0+1} \\ m=\frac{3}{1} \\ m=3 \end{gathered}$

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:

$y=3x+3$