Answer:
[tex]y = 0.75x - 6[/tex]
Step-by-step explanation:
Given
Parallel to:
[tex]y = 0.75x[/tex]
Passes through
[tex](8,0)[/tex]
Required
The equation
The slope intercept form of an equation is:
[tex]y = mx + b[/tex]
Where:
[tex]m \to[/tex] slope
So, by comparison:
[tex]m = 0.75[/tex]
For a line parallel to [tex]y = 0.75x[/tex], it means they have the same slope of:
[tex]m = 0.75[/tex]
The equation of the line is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
Where:
[tex]m = 0.75[/tex]
[tex](x_1,y_1) = (8,0)[/tex]
So, we have:
[tex]y = 0.75(x - 8) + 0[/tex]
Open bracket
[tex]y = 0.75x - 6 + 0[/tex]
[tex]y = 0.75x - 6[/tex]
