Writing Equations of Lines

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

m = (y2 - y1) / (x2 - x1)

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

Given the slope -4 and y-intercept -4, write the equation of the line.

Back

y = -4x - 4

Front

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

Back

y = 1/2x + 3

Front

Identify the slope and y-intercept in the equation y = -1/3x + 1.

Back

Slope: -1/3, y-intercept: 1

Front

What is the equation of a line with slope 3 and y-intercept 2?

Back

y = 3x + 2

Front

How do you convert the standard form ax + by = c to slope-intercept form?

Back

Solve for y to get y = (-a/b)x + (c/b).

Front

What is the slope of the line represented by the equation y = 2x - 5?

Back

The slope is 2.