Equations and Linear Graphs

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

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

Write the equation of the line with slope 2 and y-intercept 4.

Back

y = 2x + 4.

Front

Solve the equation: 2(4x - 3) = 10.

Back

x = 2.

Front

Find the slope of the line passing through the points (2, 5) and (4, 9).

Back

The slope is 2.

Front

Find the slope of the line passing through the points (-1, 3) and (5, -1).

Back

The slope is -2/3.

Front

Solve the equation: 4(3x + 2) = 28.

Back

x = 5.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.