Slope / Slope intercept / Point slope

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line. It is calculated as the change in y (rise) over the change in x (run).

Front

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

Back

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

Front

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

Back

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

Front

How do you determine if two lines are parallel?

Back

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

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. This means that if one line has a slope of 'm', the other line's slope must be -1/m.

Front

What is the y-intercept in the equation y = 3x + 4?

Back

The y-intercept is 4, which is the value of y when x = 0.

Front

Convert the point (2, 3) and slope 5 into point-slope form.

Back

y - 3 = 5(x - 2)