Linear Equations
About this set
Created by:
FoyAlgebra on January 31, 2012
Subjects:
Description:
Slope, parallel lines, perpendicular lines, slope-intercept form, point-slope form, standard form
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21 terms
Terms | Definitions |
|---|---|
 Que te gusts hacer? | y - y1 = m(x - x1) |
| What is the formula for slope-intercept form? | y = mx + b |
| What is the formula for point-slope form? | y -y1 = m(x-x1) |
| How would you write the equation of a line in slope-intercept form if you are given two points on the line and neither of them is the y-intercept? | You could write an equation in slope-intercept form and then convert to point-slope form. |
| What does "m" represent? | Slope |
| What does "b" represent? | The y-intercept |
| When a line on a graph is horizontal, is it intercepting the y or the x axis? | It's intercepting the y axis. |
| When a line on a graph is vertical, is it intercepting the y or the x axis? | It is intercepting the x axis. |
| When it has two given points, what formula should you use? | The point-slope formula. |
| When you are given the slope and the y intercept of a line, what formula should you use? | Slope intercept form. |
| If you are given two points, how do you find the slope? | You use the slope formula. (y2 - y1 \ x2 - x1) |
| How do you change it from standard form to slope-intercept form? | ex) 4x - 5y = 1 -4x. -4x subtract 4 from both sides -5y = -4x + 1 — — — divide everything by -5 -5 -5 -5 Answer: y = 4/5x - 1/5 |
| How do you find the slope of a parallel line? | Its the same slope as the first line. |
| How do u find the slope of a perpendicular line? | The negative reciprocal of the first slope |
| How to you get to standard form using only two points? | Find the slope Plug it into the point slope form Convert to slope intercept form Move x to the left side to the equation |
| How would you write the equation of a line given a table with two columns of numbers? | Read first column as x values and the second one as y values. Then turn them into points and solve from there |
| What is the slope of the line perpendicular to the equation y=16x-2? | -1/16 |
| What is the slope of (6,4) and (2,3)? | 1/4 |
| What does x always equal on the y-axis? | Zero |
| What formula do you use to get to slope intercept form when you are given two points? | Point slope form |
| What are the 3 main steps to turning an equation of a line from point-slope form, to slope-intercept form, to standard form? | Start: (Example) point = ( 2 , 1 ) m = - 2 y - 1 = - 2 ( x - 2 ) 1. Distribute: y - 1 = - 2x + 4 2. Move y1 to the right side of the equation [Add y1 (1)]: y = - 2x + 5 (checkpoint: slope-intercept form) 3. Move x1 to the left side of the equation [Add x1 (2x)]: 2x + y = 5 (finish: standard form) |
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