Writing the Equation of a Line Given the Slope and a Point

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the equation of a line given the slope and a point?

Back

To find the equation of a line given the slope (m) and a point (x1, y1), use the point-slope form: y - y1 = m(x - x1).

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

If a line has a slope of 0, what does it look like?

Back

A line with a slope of 0 is horizontal, meaning it does not rise or fall as it moves along the x-axis.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because it does not have a change in x (the denominator would be zero).

Front

How do you convert from point-slope form to slope-intercept form?

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

Front

What is the equation of a line with a slope of 2 that passes through the point (2, 5)?

Back

The equation is y = 2x + 1.

Front

What is the equation of a line with a slope of -1/2 that passes through the point (-6, 1)?

Back

The equation is y = -1/2 x - 2.

Front

What is the equation of a line with a slope of 3/2 that passes through the point (-2, 0)?

Back

The equation is y = 3/2 x + 3.