HOW DO I WRITE 5X=4Y+8 IN SLOPE INTERCEPT FORM

Question

I need this for my homework  I go to Aberdeen high school I am in intro to algebra1

 

 

 

Answer 1

Hello Keyona,

Here is the solution to the question:

 

The slope intercept form assumes the formula:

y = m.x + b

where m = slope and b = y - intercept

 

The question gives the equation:

5.x = 4.y + 8

 

So we now try to change this equation in a way that it assumes the formula stated above.

 

We have,

5.x = 4.y + 8

(subtracting 8 from both sides)

5.x - 8 = 4.y

(rewriting the equation)

4.y = 5.x - 8

(dividing the equation by 4 on both sides)

y = 1.25.x - 2

y = 1.25.x + (-2)

Now the equation has assumed the form of y = m.x + c

where m = 1.25 and c = -2

 

Hence the slope intercept form of 5.x = 4.y + 8 is given by Y = 1.25X - 2

 

I hope this answers your question.

You can get back to me in case of any doubts.