Question

Write the equation of the line that passes through (2, 2) and (6, 3) in standard form.

a. 4x + 4y = 6

b. x + 4y = 12

c. 4x + 4y = –12

d. x – 4y = –6

Answer 1

I need help on this asap

Answer 2

The first step to figuring out the equation of this line would be to find it's slope. We can do this, since we have two points on the line. Recall that the slope of a line is equal to the change in y over the change in x:
\[slope=m=\Delta y / \Delta x= (3-2)/(6-2)=(1/4)\]
Now that we have the slope and a point on the line, we can plug into this equation for a line:
\[y-y_1=m(x-x_1)\] where m is the slope, and x_1 and y_1 are the coordinates of either of the points we have. If you'd like some help plugging in and simplifying, let me know.

Answer 3

since you have a list of choices, you can plug the points into each choice and see which answer choice is true for both points

Answer 4

or you can do it vinnv226's way which is probably more recommended (because you should practice doing it without having to rely on multiple choice)