Unit 4 - Linear Equations Review

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 - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

How do you find the slope of a line given two points (x_1, y_1) and (x_2, y_2)?

Back

The slope (m) is calculated using the formula: m = (y_2 - y_1) / (x_2 - x_1).

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

If two lines are perpendicular, what is the relationship between their slopes?

Back

The slopes of two perpendicular lines are negative reciprocals of each other. If one line has a slope m, the other line's slope is -1/m.

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

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

Back

To convert from point-slope form (y - y_1 = m(x - x_1)) to slope-intercept form (y = mx + b), solve for y.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

Given the slope m = -7 and y-intercept b = -8, write the equation in slope-intercept form.

Back

The equation is y = -7x - 8.

Front

How do you find the slope of a line from its equation in standard form Ax + By = C?

Back

Rearrange the equation to slope-intercept form (y = mx + b) to identify the slope m.