First we need to recognize that the slope intercept form is

where  is the slope and  is the y-intercept.

Our equation has a 3 in front of the y so first we need to get rid of it so that we have a coefficient of 1. We do this by dividing both sides of the equation by 3

Now we have our equation in slope intercept form. We can now identify the slope as 2 and the y-int as -10.

Next we need to find the x-int and we do so by plugging in 0 for y and solving for x

We need to follow order of operations, so first add 10 to both sides

Now we need to divide both sides by 2 and solve for x

The x-int is 5

First we need to recognize that the slope intercept formula is

In our equation there is  in front of the y, but we need it to have a coefficient of 1 so we need to multiply both sides of the equation by the reciprocal which is 

On the left side of the equation the fractions cancel each other out to be 1. On the right side of the equation we distribute the 2/1 to both terms 

Now we have our equation in slope intercept form and we can identify the slope as -1 and the y-int as -34.

Next we need to find the x-int which we do by plugging in 0 for y and solving for x

Following order of operations, first we add 34 to both sides

Next we need to divide both sides by -y so that we can solve for x

Our x-int is -34.

Tip: Don't forget that whenever we see a variable without a coefficient, we know that it has an invisible 1 in front of it, or in this case since there is a negative sign in front of the x, we know that there is an invisible -1

First we need to recognize that slope intercept formula is

where  is slope and  is y intercept.

Our equation has  in front of the y and we need to get rid of it so that we have a coefficient of 1. In order to do this we need to multiply both sides of the equation by the reciprocal which is  

The fractions on the left cancel each other out and become one. The 4

 is distributed to both terms on the right

Now our equation is in slope intercept form and we can identify our slope as 2 and our y-int as -24.

Next we need to find the x-intercept and we do so by plugging in 0 for y and solving for x.

Now we follow order of operations, first by adding 24 to both sides

Next we divide both sides by 2 and solve for x

our x-intercept is 12

The -intercept, the point at which a line intersects the -axis, has -coordinate 0, so substitute 0 for  and solve for  to find the -coordinate:

The -intercept is the point 

The elimination method will work here. Multiply the second equation by  on both sides, then add to the first:

The elimination method will work here. Multiply the second equation by  on both sides, then add to the first:

The elimination method will work here. Multiply the second equation by  on both sides, then add to the first:

The elimination method will work here. Multiply the second equation by 3 on both sides, then add to the first:

Probably the easiest way to solve this question is to use the point-slope form of an equation.  Remember that for that format, you need a point and the slope of the line.  (Pretty obvious, given the name!)  For a point , the point-slope form is:

, where  is the slope

Now, recall that the slope is calculated from two points using the formula:

For our data, this is:

Thus, for your point-slope form of the line, you get the equation:

Just simplify things now...

Probably the easiest way to solve this question is to use the point-slope form of an equation.  Remember that for that format, you need a point and the slope of the line.  (Pretty obvious, given the name!)  For a point , the point-slope form is:

, where  is the slope

Now, recall that the slope is calculated from two points using the formula:

For our data, this is:

Now, that is an awkward slope, but just be careful with the simplification.  For the point-slope form of the line, you get the equation:

Just simplify things now...

Now, find a common denominator for the fractions.  (It is .)