Finding the Equation of a Line

Front

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

Back

The slope-intercept form 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 slope of a line given 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 slope of a line represent?

Back

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

Front

What is a y-intercept?

Back

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

Front

Write the equation of the line with slope 5/2 through the point (8, −2).

Back

y = 5/2x − 22.

Front

Write the slope-intercept form of the equation that has a slope of 4 and a y-intercept of −3.

Back

y = 4x − 3.

Front

Write the equation of the line with slope -2 through the point (7, −1).

Back

y = −2x + 13.

Front

Write the equation of the line through the points (−6, −19) and (2, 5).

Back

y = 3x − 1.

Front

Write the equation of the line with slope 3/5 through the point (20, 6).

Back

y = 3/5x − 6.

Front

What is the formula to 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.