Writing Equations of Lines Given a Point and a Slope

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 a point and a slope?

Back

To find the equation of a line given a point (x₀, y₀) and a slope m, use the point-slope form: y - y₀ = m(x - x₀).

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

Front

Write the equation of a line with slope m = -1 through the point (2, 3).

Back

y = -x + 5.

Front

Write the equation of a line with slope m = 1/4 through the point (8, 5).

Back

y = 1/4x + 3.

Front

Write the equation of a line with slope m = -1/2 through the point (-6, 1).

Back

y = -1/2x - 2.

Front

Write the equation of a line with slope m = -4/3 through the point (-9, 7).

Back

y = -4/3x - 5.

Front

Write the equation of a line with slope m = 1 through the point (-5, -7).

Back

y = x - 2.

Front

What is the point-slope form of a line?

Back

The point-slope form of a line is given by the equation y - y₀ = m(x - x₀), where (x₀, y₀) is a point on the line and m is the slope.