Finding slope and intercept of a line, and solving equations

1. Find the slope and intercept for the line 2y-x-4=0

2. Find the slope and intercept for the line 6/9y+2/3x-5=0

3. For the line y= 3x-3 find a line parallel to it that passes through the point (-1,0)

4. For the line y= 2x+2 find a line parallel to it that passes through the points (2,0) (4,4)

5. For the set of points (1,5) and (3,9) find the slope, intercept, and write the equation

6. Solve the equation x squared+4x-12=0 by factoring

7. Solve the equation 4xsquared-25x+36=0 by factoring

8. Solve the equation 4xsquared-2x=0 by factoring

9. Solve the equation 3xsquared-5x-2=0 by using the quadratic equation (DO NOT FACTOR)

Solution Preview

Please see the solutions in the attached Word document.

1. Find the slope and intercept for the line 2y-x-4=0

To find the slope and intercept of a line, first put the function into the form:

When this is done, m is the slope and b is the intercept. Now put your line into that form.

Now that this is in the same form as the equation above, it's easy to see that:

Slope =
Intercept =

2. Find the slope and intercept for the line 6/9y+2/3x-5=0

As in problem 1, just rearrange the equation into the form . The slope is and the intercept is .

From this you can see that:

Slope =
Intercept =

3. For ...

Solution Summary

There are nine algebra problems in this solution. The first two show in detail how to find the slope and intercept of a line. The others solve the given equation for x.

... Write the equation in slope intercept form. ... on solving a set of math questions including finding linear line... 36) Slope m=(8-8)/(-3-4)=0. Using the standard form ...

Graphing : Ordered Pairs, Slopes, Intercepts and Line Equations. ... Give the answer in slope-intercept form. ...Finding slope of a line by using slope intercept formula ...

... y = 5x + 6. Find Find an equation of the line containing the given pair of points. ... The slope of this equation is 5 4. Comparing the 2, slopes are different. ...

Assessing Slopes and Intercepts. 3.1-72 Graph the line defined by the equation . ... 3.3-30 Find the slope and y-intercept, if they exist, for the line . ...

...find the slope and y-intercept for the line below . ...find the equation of the line that is perpendicular to the line given and passes through the point given. ...

... y = -(-3) =3. Solution: x = -3, and y = 3. Find the slope... Assume the slope is m, and the line equation is y ... x-intercept: 4x +0 =4, x = 1. y-intercept: 0 + 4y ...

... If two lines are parallel then you know that their slopes must be equal. The easiest way to find the slope of a linear equation that you're given is to ...

... For the lines to be perpendicular the slopes are negative ... 4. Use the graphing method to find the solution of ... Use the slope and y-intercept to graph both lines. ...

...Find the x intercept and y intercept of the line given ... the equation of a linear given the slope and a ... problems that have two variables, f) finding the equation...