Point-Slope Form Review

Front

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

Back

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

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

Back

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

Front

Convert the equation y = 2x - 11 to point-slope form using the point (5, -1).

Back

The point-slope form is y + 1 = 2(x - 5).

Front

What is the slope of the line represented by the equation 4x + y = -10?

Back

The slope is -4.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

Write the equation of a line in point-slope form that passes through the point (3, 1) with a slope of -2.

Back

y - 1 = -2(x - 3).

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

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

How do you convert the equation from standard form Ax + By = C to slope-intercept form?

Back

To convert, solve for y to get y = mx + b, where m is the slope.