Step-by-step explanation:
Consider the provided information.
It is given that the x-intercept at (-4, 0) and a y-intercept at (0, 5).
The slope of a line is m =[tex]\frac{Rise}{Run}[/tex]
Where Rise represents the vertical change and Run represents the horizontal change.
Or we can say the slope of a line is vertical change divided by the horizontal change.
For the coordinate [tex](x_1, y_1)\ \text{and} \ (x_2, y_2)[/tex] the slope is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Now substitute [tex](x_1, y_1)=(-4,0)\ \text{and} \ (x_2, y_2)=(0,5)[/tex] in above formula.
[tex]m=\frac{5-0}{0-(-4)}[/tex]
[tex]m=\frac{5}{4}[/tex]
Thus, the slope of the line is 5/4.
The equation of line is y=5/4x+5, where 5 is the y intercept.
The vertical change of the line is 5 unit and horizontal change is 4 unit.
