What is the standard form of the equation of the line through $$(6,-3)$$ with slope $$\frac{2}{3}$$ ?

The standard form is $$2x-3y=21$$ .

Write in standard form: $$2x-2=6y$$ .

The standard form is $$2x-6y=2$$ .

What is the general form of a linear equation?

The general form is $$Ax + By = C$$ where A, B, and C are constants.

How do you find the slope from two points (x1, y1) and (x2, y2)?

The slope is calculated as $$m = \frac{y2 - y1}{x2 - x1}$$ .

What does the slope represent in a linear equation?

The slope represents the rate of change of y with respect to x.

What is the y-intercept in a linear equation?

The y-intercept is the value of y when x=0.

How do you convert from slope-intercept form to standard form?

Rearrange the equation to the form $$Ax + By = C$$ .

What is the slope-intercept form of a linear equation?

The slope-intercept form is $$y = mx + b$$ where m is the slope and b is the y-intercept.

What is the point-slope form of a linear equation?

The point-slope form is $$y - y1 = m(x - x1)$$ where m is the slope and (x1, y1) is a point on the line.

Slope Intercept, Point Slope, & Standard Form Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

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2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

What type of slope does the graph have if it is horizontal?

Back

The slope is Zero Slope.

4.

FLASHCARD QUESTION

Front

What type of slope does the graph have if it is increasing?

Back

The slope is Positive.

5.

FLASHCARD QUESTION

Front

What type of slope does the graph have if it is decreasing?

Back

The slope is Negative.

6.

FLASHCARD QUESTION

Front

What type of slope does the graph have if it is vertical?

Back

The slope is Undefined.

7.

FLASHCARD QUESTION

Front

Back

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