Write Slope-Intercept Form from two 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) from two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the letter 'b' represent in the slope-intercept form?

Back

The letter 'b' represents the y-intercept of the line, 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?

Back

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

Front

What is the y-intercept of the line represented by the equation y = 2x + 4?

Back

The y-intercept is 4, which means the line crosses the y-axis at the point (0, 4).

Front

Write the slope-intercept form of the line that passes through (0, 2) and has a slope of -1.

Back

The equation is y = -1x + 2 or y = -x + 2.

Front

What is the equation of the line that passes through the points (1, 2) and (3, 6)?

Back

The equation is y = 2x.

Front

How do you convert the standard form of a line Ax + By = C to slope-intercept form?

Back

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

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.