Question

Why can’t we use the intercept method to graph the following equation? 3(x+2) = 2(y+3)

Answer 1

@Hero

Answer 2

Have you attempted to use the intercept method to graph the equation yet?

Answer 3

A bit but i cant really understand

Answer 4

The intercept method works like this:

To find the x intercept, let y = 0, then solve for x. The point you find will be (x, 0) where x is the value you solved for.

To find the y intercept, let x = 0, then solve for y. The point you find will be (0, y) where y is the value you solved for.

Each point is usually two distinct points as you only need two points two draw a line. For example:

Suppose you had to graph

y = 2x + 4

Finding the x intercept, you let y = 0, the solve for x as follows:
0 = 2x + 4
-4 = 2x
-4/2 = x
-2 = x

So the x intercept is the point (-2, 0)

To find the y intercept, let x = 0, then solve for y as follows:
y = 2(0) + 4
y = 0 + 4
y = 4

So the y-intercept is the point (0 , 4)

Answer 5

You would then proceed to plot those two distinct points, then draw a line through them and label the line y = 2x + 4

Answer 6

In this case, for the equation you posted, if you tried to find two distinct intercepts, you would realize that the x-intercept = y-intercept = (0,0).

Answer 7

ok i understand but y couldn't i do that same thing with 3(x+2) = 2(y+3)

Answer 8

In other words, you only have one point rather than the required two points you need to draw a line. Remember two points gives you a slope which is a necessary property of a line. With only one point, you won't know the slope of the line, therefore there would be no way to draw a line.

Answer 9

oh

Answer 10

thanks