| A | B |
|---|
| Slope - intercept formula | y=mx+b |
| m is the | slope of a line |
| b is | the point where the line intersect the y axis that is the y-intercept |
| slope formula is | m=y2-y1/x2-x1 |
| slope formula calculates slope when | you are given 2 point: point 1 and point 2 |
| you can calculate slope m algebraically by using the | slope formula if you are given tqwo points on the line |
| you can find the slope of a line on a graph if you are given two points by using | RISE/RUN (rise over run!!) |
| Zero slope defines a | HORIZONTAL LINE |
| When slope is UNDEFINED the line is | A vertical one |
| when the equation of a line is given in the slope-intercept form notice that | Y is on one side of the = sign m x and b on the other side |
| to write an equation in slope-intercept form you need | the slope and the y-int.(m and b) |
| given the equation of a line in slope-intercept formula you can determine its | m and b (slope and y-int) |
| Remeber when you are graphing a line from its slope-intercept equation, your starting point is | b=y-intercept REMEMBER b stands for beginning!!!! |
| Ax+By=C | equation of a line expressed in Standard form |
| Ax+By=C is in all caps! so remember | STANDARD form |
| in standard formx and y are to the left of the = sign and | C is on the right of the equal sign |
| When given the equation of a line in standard form remember | two special points x-int and y-int. |
| to graph a line form a standard form equation you must | plug in 0 for x to find the y-int and then plug in 0 for y to find the x-int |
| given the equation of the line in standard form you know how to get | its x-int and its y-int so you can calculate m with the slope formula |
| NO fractions in the | STANDARD FORM you must clear fractions |
| To switch from slope-intercept to standard | make sure you "move" (by adding or subtracting)both variables to the left side |
| given one point and the slope m you can write the quation of a line in | point slope form |
| point slope formula is | y-y1=m(x-x1) |
| in y-y1=m(x-x1) what is m? y1? x1? | m is the slope (x1, y1) are the coordinates of one point on the graph of that line |
| use the point slope form when you are given | slope and ONE point on the line |
| if you are given 2 points on a line and are asked to WRITE the equation of thatline use | the slope formula( m=y2-y1/x2-x1) to calculate m then plug in one of the poin coordinate into the point slope formula and you have the equation of that line |
| if you are given the point-slope equation of a line and are asked to graph that line | use the given m and (x1, y1) as one of its point then use RISE OVER RUN to plot more points!! |
| parallel lines have | same slope and different y-intercept points |
| perpenicular lines have | negative reciprocal m and different y-intercept points. |
| two lines are perpendicular when | the product of their slopes = -1 |
| two lines are parallel when | their slope is THE SAME but NOT their y-int. |
| y=mx+b is the | slope-intercept form |
| Ax+By=C is the | STANDARD FORM |
| y-y1=m(x-x1) is the | point-slope form |
| m=y2-y1/x2-x1 is the | SLOPE formula |
