Writing Equations of Lines

Front

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

Back

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

Front

How do you find the slope (m) between 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 the line through the points (7, 8) and (−12, −11).

Back

y = x + 1

Front

Write the slope-intercept form of the equation shown in the graph with a slope of 2 and a y-intercept of 4.

Back

y = 2x + 4

Front

Write the slope-intercept form of the equation shown in the graph with a slope of 1/3 and a y-intercept of -2.

Back

y = 1/3x - 2

Front

What is the formula to find the equation of a line given two points?

Back

The equation can be found using the point-slope form: y - y1 = m(x - x1), where m is the slope.

Front

Write the equation of the line through the points (8, −7) and (−2, 8).

Back

y = −3/2x + 5

Front

Write the equation of the line through the points (4, 5) and (12, 9).

Back

y = 1/2x + 3

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.