Answer:
D; y = [tex]\frac{4}{7}[/tex]x
Step-by-step explanation:
1. Slope-intercept form
The general formula of a line is;
y = mx + b
Where "m" is the slope, and "b" is the y-intercept.
2. Slope
The slope of a line is;
[tex]\frac{rise}{run}[/tex]
The slope of the given line is; [tex]\frac{4}{7}[/tex]. This is because the line goes up 4 units, and over to the right by 7 units.
3. Intercept
This line passes through the origin, meaning it has no y-intercept.
4. Putting it together
Substitute in the value found, into the general equation.
y - mx + b
m = [tex]\frac{4}{7}[/tex]
b = 0
Hence the equation of the line is;
[tex]y = \frac{4}{7}x + 0[/tex]
[tex]y = \frac{4}{7}x[/tex]
