# What is the equation of the line with slope # m= -7/3 # that passes through # (-17/15,-5/24) #?

##### 1 Answer

or

or

#### Explanation:

We are finding a line, so it needs to follow the linear form. The easiest way to find the equation in this instance is using the gradient-intercept formula. This is:

Where

We already know what

So now we need to find c. To do this, we can sub in the values of the point we have

Substitute the values in:

Apply the multiplication

Isolate the unknown constant, so bring all the numbers to one side of the by subtracting

Multiply numerator and denominator by a number to get a common denominator in both fractions to apply the subtraction

So now we can also substitute c into the equation:

We can also put this into the general form, which looks like:

To do this, we can rearrange the gradient intercept formula into the general formula using the steps shown below:

We need to get rid of all the fractions first. So we multiply everything with a denominator (using the smaller one will make it easier in my opinion), and it should get rid of the fractions:

Then bring the

If you want you can get rid of the fraction by multiplying both sides by 40: