How do I solve 4y =3× -2

Question

4y=3× - 2

Answer 1

I believe that the x is an exponent.

solving for y gives you y = ¼•3^x - ½.

That solves for y, in general. If you select a particular value for x, you will find the associated value of y;this is called evaluation. This is an exponential function.

If you wish to see what the graph look like, you graph it.

The line y = -½ is an horizontal asymptote.

When x=0, you find the y intercept, -¼.

 

Answer 2

I assume you meant to say

 

4y = 3x - 2,

 

not

 

4y = 3^x - 2,

 

which is not a line.  Set x=0 and solve for y to find the y-axis intercept.  Set y=0 and solve for x to find the x-axis intercept.

Answer 3

4y = 3x - 2      To find the y-intercept, let x = 0 and solve for y.

4y = -2

y = -1/2   (0,-1/2)

 

To find the x-intercept, let y = 0 and solve for x.

0 = 3x - 2

2 = 3x

2/3 = x     (2/3,0)

 

Answer 4

4y = 3x - 2

 

x-Intercept:  Set y=0 and solve for x

0 = 3x-2

3x = 2

x = 2/3

x-intercept is (2/3, 0)

 

To find the y-intercept set x = 0 and solve for y...

4y = 3(0) -2

 

Can you finish solving for y to find the y-intercept of (0, ?)