Convert the equation $$y - 6 = -\frac{1}{3}(x - 9)$$ to slope-intercept form.

The slope-intercept form is $$y = -\frac{1}{3}x + 9$$ .

Convert the equation $$y + 3 = -3(x - 4)$$ to slope-intercept form.

The slope-intercept form is $$y = -3x + 9$$ .

Write the equation in slope-intercept form for the line through points (1, 4) and (5, 8).

The equation is $$y = x + 3$$ .

What is the formula to convert from standard form to slope-intercept form?

To convert from standard form $$Ax + By = C$$ to slope-intercept form, solve for $$y$$ : $$y = -\frac{A}{B}x + \frac{C}{B}$$ .

Write the equation in slope-intercept form for a line with slope -2 that passes through (-4, 5).

The equation is $$y = -2x - 3$$ .

What does the slope of a line represent?

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

How do you identify the slope and y-intercept from the equation $$y = mx + b$$ ?

In the equation, $$m$$ is the slope and $$b$$ is the y-intercept.

What is the significance of the point-slope form in graphing linear equations?

Point-slope form allows you to easily graph a line using a known point and the slope.

Convert the equation $$y - 6 = -3(x + 2)$$ to slope-intercept form.

The slope-intercept form is $$y = -3x + 9$$ .

Converting Linear Equations Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

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

Back

2.

FLASHCARD QUESTION

Front

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

Back

3.

FLASHCARD QUESTION

Front

What is point-slope form of a linear equation?

Back

4.

FLASHCARD QUESTION

Front

How do you find the slope between two points?

Back

5.

FLASHCARD QUESTION

Front

What is the y-intercept of a linear equation?

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Write the equation in point-slope form for the line through points (1, -3) and (-2, 6) using the second point.

Back

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