Answer:
[tex]y=2x[/tex]
Step-by-step explanation:
We want to write an equation in slope-intercept form that passes through the points (2, 4) and (3, 6).
So, we will first find the slope. Let (2, 4) be (x₁, y₁) an let (3, 6) be (x₂, y₂).
The slope formula is given by:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
So, by substitution, our slope is:
[tex]\displaystyle m=\frac{6-4}{3-2}=\frac{2}{1}=2[/tex]
Now, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
By substitution:
[tex]y-(4)=2(x-(2))[/tex]
Distribute:
[tex]y-4=2x-4[/tex]
Adding 4 to both sides yields:
[tex]y=2x[/tex]
And we have our equation.
In this case, the y-intercept is 0.
