Answer:
A
Step-by-step explanation:
To write the equation, find the slope of the line using the two points. Find the difference in y values over the difference in x values.
[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{10-4}{4-0}=\frac{6}{4}=\frac{3}{2}[/tex]
Write the equation using the slope m=3/2 and the point slope form.
[tex]y-y_1=m(x-x_1)\\y-10=\frac{3}{2}(x-4)[/tex]
This is the equation of the line. You can convert it to slope intercept form:
[tex]y-10=\frac{3}{2}(x-4)\\y-10 = \frac{3}{2}x - 6\\y=\frac{3}{2}x +4[/tex]
