SOLUTION: solve 5x + 4y = 12 for y What does 12 for y mean? What is the slope and y intercept of this line? What is the corresponding value of y when x=16. 5x + 4y

Algebra ->  Linear-equations -> SOLUTION: solve 5x + 4y = 12 for y What does 12 for y mean? What is the slope and y intercept of this line? What is the corresponding value of y when x=16. 5x + 4y      Log On


   



Question 121339: solve 5x + 4y = 12 for y What does 12 for y mean? What is the slope and y intercept of this line? What is the corresponding value of y when x=16.

5x + 4y = 12 for y

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Solve 5x + 4y = 12 for y What does 12 for y mean?

You read that wrong.  It should be read like this:

Solve this equation for the variable y:

5x + 4y = 12
                    Get the y-term by itself on the left by
                    adding -5x to both sides:

     4y = -5x + 12
                    Divide every number by the coefficient of y,
                    which is 4:

     %284%29%2F4y = %28-5%29%2F4x + 12%2F4

                y = %28-5%29%2F4x + 3

                y = -5%2F4x + 3

What is the slope and y intercept of this line?

Rule:

For the equation of line

               y = mx + b

the slope = m and the y-intercept is the point (0,b)

Compare

                y = -5%2F4x + 3

with            y = mx + b

and you see that m = -5%2F4 and b = 3

so the slope = m = -5%2F4 and the

y-intercept = (0,b) = (0,3) 

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What is the corresponding value of y when x=16.

Substitute 16 for x in

                y = -5%2F4x + 3

                y = -5%2F4(16) + 3

                y = -20 + 3

                y = -17

Edwin