4.1 & 4.2 Review: Writing Linear Equations

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 y-intercept represent in a linear equation?

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 y = mx + b.

Front

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

Back

y = 3x - 2.

Front

What is the equation of a vertical line that passes through x = 4?

Back

x = 4.

Front

What is the equation of a horizontal line that passes through y = 5?

Back

y = 5.

Front

How do you write the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

Write the equation of a line that passes through (1, 2) with a slope of -1.

Back

y - 2 = -1(x - 1) or y = -x + 3.

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.