Shortened: Slope-Intercept Form Using Points

Front

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

Back

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

Front

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

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept (b) represent in the slope-intercept form?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

If a line has a slope of 2, what does this indicate about the line's steepness?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units, indicating a steep line.

Front

What is the equation of a line with a slope of -3 that passes through the point (1, 4)?

Back

The equation is y = -3x + 7.

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

Rearrange the equation Ax + By = C to solve for y: y = (-A/B)x + (C/B).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Given the points (2, 3) and (4, 7), what is the slope of the line connecting them?

Back

The slope is 2.

Front

Write the equation of the line that passes through (0, 5) with a slope of 3.

Back

The equation is y = 3x + 5.