Writing Equations from Graphs

Front

What is the slope of a horizontal line?

Back

0

Front

What is the slope of a vertical line?

Back

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Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The steepness or incline of the line, indicating how much y changes for a change in x.

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

The line descends from left to right.

Front

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

Back

y = (1/3)x - 2

Front

Write the equation of a line with a slope of 3/5 and a y-intercept of 1.

Back

y = (3/5)x + 1

Front

What is the y-intercept of the line represented by the equation y = (2/3)x - 1?

Back

-1

Front

How do you determine the y-intercept from a linear equation in slope-intercept form?

Back

The y-intercept is the value of b in the equation y = mx + b.