Writing Linear Equations

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

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

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

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 b in the slope-intercept form.

Front

Write the equation of a line with a slope of 2 and a y-intercept of -3.

Back

y = 2x - 3.

Front

What is point-slope form of a linear equation?

Back

Point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

Convert the point-slope equation y - 1 = 3(x - 2) to slope-intercept form.

Back

y = 3x - 5.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope m = (y2 - y1) / (x2 - x1).

Front

If a line has a slope of -4, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it would be 1/4.