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Graphs of points, lines, polynomials, and circles Videos 6 videos

ACT Math 2.4 Coordinate Geometry
304 Views

ACT Math: Coordinate Geometry Drill 2, Problem 4. What is the equation for the circle in the video?

ACT Math 2.5 Coordinate Geometry
231 Views

ACT Math: Coordinate Geometry Drill 2, Problem 5. What is the origin of the circle?

Standard Form Equations
225 Views

ACT Math: Coordinate Geometry Drill 3, Problem 3. What is the standard form equation for the line?

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Standard Form Equations 225 Views


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Description:

ACT Math: Coordinate Geometry Drill 3, Problem 3. What is the standard form equation for the line?

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English Language

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

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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