Writing Equations from a Graph

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

How do you identify the slope from the equation y = -2x + 4?

Back

The slope is -2.

Front

What does the y-intercept represent in the equation y = 3x + 2?

Back

The y-intercept is 2, which is the point where the line crosses the y-axis.

Front

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

Back

A slope of 3 indicates that for every 1 unit increase in x, y increases by 3 units, making the line steep.

Front

What is the y-intercept of the line represented by the equation y = -1/2x + 5?

Back

The y-intercept is 5.

Front

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

Back

Use the formula m = (y2 - y1) / (x2 - x1).

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line.

Front

What is the significance of the point (0, b) in the slope-intercept form?

Back

It represents the y-intercept of the line.

Front

How do you convert the standard form of a linear equation ax + by = c to slope-intercept form?

Back

Solve for y to get y = (-a/b)x + (c/b).

Front

What is the slope of the line represented by the equation y = 4x - 1?

Back

The slope is 4.