WRITING EQUATIONS FOR LINES
[pic] This is the radiation pattern for purpose the gradient of a line that passes through two points.
When send word I work this formula?
When I am presumptuousness two points through which a line passes and I am asked to find the slope of that line
Example 1: strike the slope of the line which passes through the points (2, -7) and (-5, -1).
[pic]Answer: The slope of the line is [pic].
This formula is called the slope-intercept formula for a line because it displays both the slope and the y-intercept of the line.
y = mx + b
Slope = m y-intercept = b
When can I use this formula?
When I am given the compare for a line and I am asked to find the slope and y-intercept of that line
or
When I am given the slope and y-intercept of a line and I am asked to write an equation for the line
Example 2: Find the slope and the y-intercept of the line whose equation is 2x - 8y = 5.
|To find the slope and y-intercept, puzzle out the equation for y.
|[pic] |
| |Slope y-intercept |
|Solving for y automatically puts the equation into y = mx + b form, the form where you can readily see the | |
|slope and the y-intercept. | |
| | |
|Answer: The slope of the line is [pic]. The y-intercept is (0, -5/8)....If you command to get a full essay, order it on our website: Orderessay
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