How do you identify the slope in the equation $$y = 2x - 3$$ ?

In the equation $$y = 2x - 3$$ , the slope is $$2$$ .

What does the y-intercept represent in the equation $$y = mx + b$$ ?

The y-intercept, represented by $$b$$ , is the point where the line crosses the y-axis.

Convert the equation $$2y = 4x + 6$$ to slope-intercept form.

Dividing by 2 gives $$y = 2x + 3$$ .

What is the slope of the line represented by the equation $$y = -\frac{1}{2}x + 2$$ ?

The slope is $$-\frac{1}{2}$$ .

How do you find the y-intercept from the equation $$y = 3x + 7$$ ?

The y-intercept is $$7$$ , which is the value of $$b$$ in the slope-intercept form.

Write the equation of a line with slope 4 and y-intercept 1.

The equation is $$y = 4x + 1$$ .

If the slope of a line is 0, what does that indicate about the line?

A slope of 0 indicates that the line is horizontal.

Write the equation of a line with slope -2 and y-intercept 3 in slope-intercept form.

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

What does it mean if a line has a positive slope?

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Write the equation of a line with slope 1/3 and y-intercept -2.

The equation is $$y = \frac{1}{3}x - 2$$ .

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

The slope is calculated using the formula: $$m = \frac{y2 - y1}{x2 - x1}$$ .

#4.1 Writing Equations in Slope-Intercept Form Flashcards

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1.

FLASHCARD QUESTION

Front

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

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2.

FLASHCARD QUESTION

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3.

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4.

FLASHCARD QUESTION

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Write the equation of a line with a slope of 1 and a y-intercept of -4 in slope-intercept form.

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5.

FLASHCARD QUESTION

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If a line has a slope of -3 and a y-intercept of 5, what is its equation in slope-intercept form?

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6.

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7.

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