What is the equation of a line with slope -5 and y-intercept 9?

The equation is $$y = -5x + 9$$ .

Given the lines $$y = 4x + 2$$ and $$y = -\frac{1}{4}x + 2$$ , are they perpendicular?

Yes, they are perpendicular because the product of their slopes (4 and -1/4) equals -1.

What is the equation of a line that passes through the point (4, -7) with a slope of -1/4?

The equation in point-slope form is $$y + 7 = -\frac{1}{4}(x - 4)$$ .

How do you identify the slope from the equation $$y = 2x + 3$$ ?

The slope is 2, which is the coefficient of $$x$$ .

How do you graph a linear equation?

To graph a linear equation, find the y-intercept, plot it on the graph, and use the slope to find another point.

What is the relationship between the slopes of parallel lines?

Parallel lines have the same slope.

How can you determine if a point lies on a line represented by an equation?

Substitute the x-value of the point into the equation and see if the resulting y-value matches the y-value of the point.

Alg Review 4.1- 4.3 Big Ideas Algebra I Flashcards

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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 determine the slope from two points?

Back

3.

FLASHCARD QUESTION

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

4.

FLASHCARD QUESTION

Front

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

Back

5.

FLASHCARD QUESTION

Front

How can you find the y-intercept from a linear equation?

Back

6.

FLASHCARD QUESTION

Front

What is the significance of the y-intercept in a linear equation?

Back

7.

FLASHCARD QUESTION

Front

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

Back

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