Answer:
[tex]y=\dfrac{4}{3}x+4[/tex]
Step-by-step explanation:
If a line passes through two points, then the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that the line passes through the points (-3,0) and (0,4). So, the slope of the line is
[tex]m=\dfrac{4-0}{0-(-3)}[/tex]
[tex]m=\dfrac{4}{3}[/tex]
The slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
The slope of the line is 4/3 and y-intercept is 4. So, the equation of line is
[tex]y=\dfrac{4}{3}x+4[/tex]
Therefore, the required equation is [tex]y=\dfrac{4}{3}x+4[/tex].
