ANSWER
The equation of the line in slope-intercept form is
[tex]y = \frac{3}{5} x + 3[/tex]
EXPLANATION
The slope intercept form of a line is given by
[tex]y = mx + c[/tex]
Where [tex]m[/tex]is the slope and [tex]c[/tex]
is the y-intercept.
We can read any two points from the graph and use it to determine the slope of the line.
For instance, the graph passes through the points
[tex](-5,0)[/tex]and [tex](0,3)[/tex]
The slope can be found using the formula,
[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]
This implies that,
[tex]m = \frac{ 3 - 0}{0 - - 5} [/tex]
[tex]m = \frac{ 3 - 0}{0 + 5} [/tex]
[tex]m = \frac{ 3 }{ 5} [/tex]
Also the y-intercept is
[tex](0,3)[/tex]
Therefore [tex]c = 3[/tex]
We substitute all these values in to the above equation to obtain,
[tex]y = \frac{3}{5} x + 3[/tex]
