Coordinate Geometry - SSAT Upper Level Quantitative

You will first solve for Y, to get the equation in form.

represents the slope of the line, which would be .

A perpendicular line's slope would be the negative reciprocal of that value, which is .

Use the properties of angle addition:

A line with an undefined slope has equation for some number ; since this line passes through a point with -coordinate 4, then this line must have equation

We can use the point slope form of a line, substituting .

or

First, find the slope of the line.

Now, because the problem tells us that the line goes through , our y-intercept must be .

Putting the pieces together, we get the following equation:

To find the equation of a line, we need to first find the slope.

Now, our equation for the line looks like the following:

To find the y-intercept, plug in one of the given points and solve for . Using , we get the following equation:

Solve for .

Now, plug the value for into the equation.

First, we need to find the slope of the line.

Next, find the -intercept. To find the -intercept, plug in the values of one point into the equation , where is the slope that we just found and is the -intercept.

Solve for .

Now, put the slope and -intercept together to get

When two lines are parallal, they must have the same slope.

Look at the equations when they are in slope-intercept form, where b represents the slope.

We must first reduce the second equation since all of the constants are divisible by .

This leaves us with . Since both equations have a slope of , they are parallel.

For this expression, you must take each variable and deal with them separately.

First divide you two constants .

Then you move onto and when you divide like exponents you must subtract the exponents leaving you with .

is left by itself since it is already in a natural position.

Whenever you have a negative exponential term, you must it in the denominator.

This leaves the expression of .

Use the following formula to find the slope:

Substituting the values from the points given, we get the following slope:

To find the slope of the line that passes through the given points, you can use the slope equation.

To find the slope of the line that passes through the given points, you can use the slope equation.

To find the slope, put the equation in the form of .

Since , that is the value of the slope.

You need to put the equation in form before you can easily find out its slope.

Since , that must be the slope.

Even though there are variables involved in the coordinates of these points, you can still use the slope formula to figure out the slope of the line that connects them.

To find the slope, you will need to put the equation in form. The value of will be the slope.

Subtract from either side:

Divide each side by :

You can now easily identify the value of .

You can use the slope formula to figure out the slope of the line that connects these two points. Just substitute the specified coordinates into the equation and then subtract:

Rewrite the equation in slope-intercept form, .

The slope is the term, which is .

Write the formula to find the slope.

Either equation will work. Let's choose the latter. Substitute the points.