what do you do when you are trying to find slopes and intercepts to solve equations? if I ask what is the slope and y- intercept of y=5/3 x +4 what would the answer be?

Thank you for the opportunity to help you with your question!

There are facts which have been proven about slopes and intercepts.

The equation of a line takes the form y= mx +c whereby m is the slope of the line and c is the y intercept

Therefore in an equation like

y=5/3 x +4

5/3 is the slope ( It is the coefficient of x when y is 1) and 4 is the y intercept.

This is important to note that the value of y should be 1

example:

What is the slope of the line 2y =8x +12

The slope will not be 8 because the equation is not in the simplest form.

Simplifying the equation give y=4x +6 that is after dividing through by the coefficient of y.

The slope will be 4

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