Given the slope $$\frac{3}{4}$$ and point (-2,-4), write the point-slope form of the line.

The point-slope form is: $$y + 4 = \frac{3}{4}(x + 2)$$ .

How do you graph a line using point-slope form?

Start at the point given by $$(x_1, y_1)$$ , then use the slope $$m$$ to find another point by moving up/down and left/right accordingly.

What is the equation of a line with slope -12 passing through (-4, -5) in point-slope form?

The equation is: $$y + 5 = -12(x + 4)$$ .

How do you determine if a point lies on a line given in point-slope form?

Substitute the x and y coordinates of the point into the equation. If the equation holds true, the point lies on the line.

What is the slope of the line represented by the equation $$y + 1 = -\frac{1}{3}(x - 2)$$ ?

The slope is $$-\frac{1}{3}$$ .

How can you identify the slope and point from the equation $$y - 7 = \frac{2}{3}(x + 4)$$ ?

The slope is $$\frac{2}{3}$$ and the point is $$(-4, 7)$$ .

What does it mean if the slope of a line is zero?

A slope of zero indicates a horizontal line, meaning there is no change in $$y$$ as $$x$$ changes.

What does it mean if the slope of a line is undefined?

An undefined slope indicates a vertical line, meaning there is no change in $$x$$ as $$y$$ changes.

Point Slope and Slope Intercept Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

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

Back

2.

FLASHCARD QUESTION

Front

How do you identify the slope from a point-slope equation?

Back

3.

FLASHCARD QUESTION

Front

What does the slope of a line represent?

Back

4.

FLASHCARD QUESTION

Front

How can you convert point-slope form to slope-intercept form?

Back

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

How do you find the y-intercept from a slope-intercept equation?

Back

7.

FLASHCARD QUESTION

Front

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

Back

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