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Standard Form Equations 235 Views
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Description:
ACT Math: Coordinate Geometry Drill 3, Problem 3. What is the standard form equation for the line?
- Coordinate Geometry / Slope
- Coordinate Geometry / Graphs of points, lines, polynomials, and circles
- Product Type / ACT Math
- Foreign Language / Korean Subtitled
- Foreign Language / Spanish Subtitled
- Foreign Language / Chinese Subtitled
- Foreign Language / Arabic Subtitled
- Coordinate Geometry / The relations between equations and graphs
Transcript
- 00:02
For a good time, solve this shmoopy question...
- 00:05
What is the standard form of a line through 3/4, one with M equals -1/2?
- 00:12
Here are your options...
- 00:15
Okay, so this question is asking us to apply the Y equals MX plus B format
- 00:20
but to plug in a point. So here we are given M
Full Transcript
- 00:23
and its -1/2. Already we can fill in the equation to be Y equals -1/2 X plus B.
- 00:30
Well the question gives us one point the line is going to intersect
- 00:34
and we know that the slope is gonna be gently negatively sloping
- 00:38
at minus a half. So rewrite the equation to be one equals -1/2
- 00:43
times 3/4 plus B. Then just solve and we have one
- 00:48
equals -3/8 plus B. Add 3/8 to both sides
- 00:53
and we have 1 3/8 equals B. Glance at the potential answers and we see that there
- 00:59
is no 1 3/8, but there is an 11/8.
- 01:02
So that's the form they want this thing in and now we can write the equation as
- 01:06
Y equals -1/2 X plus 11/8 and the answer is D.
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