Question

Draw the graph of each of the equations

x +3y = 4

and

2x + y = 3

find the coordinates of the point

where the lines meet.​

Answer 1

Answer:

You mean the x-intercept and the y-intercept.

First, convert this equation into slope-intercept form.

2x + 3y + 4 = 0

Subtract 4 and 2x from both sides:

3y = -2x-4

Divide both sides by 3:

y = -2/3x - 4/3

Set x equal to zero to find the y-intercept:

y = -2/3*0 - 4/3

y = -4/3

Thus, the y-intercept is at (0, -4/3)

Now, set y equal to zero to find the x-intercept. You do this by solving for x when y = 0.

y = -2/3x - 4/3

y = 0

0 = -2/3x - 4/3

Add 4/3 to both sides:

4/3 = -2/3x

Multiply both sides by 3 to get rid of the fractions:

4 = -2x

Divide both sides by -2:

x = -2