Answer:
y=2x-8
Step-by-step explanation:
To write the equation in slope intercept form y=mx+b you need a slope and the y-intercept. We will calculate the slope and then substitute it and a point into the point slope form [tex]y-y_1=m(x-x_1)[/tex]. Simplifying this form will result in slope intercept form.
Calculate the slope by subtracting the y values and x values of the points.
[tex]m=\frac{6-0}{7-4} = \frac{6}{3}=2[/tex]
The slope is 2. Choose one point to use the slope with in the point slope form. Then substitute and simplify.
[tex]y-0 = 2(x-4)\\y=2x-8[/tex]
