Unit 2 Ch.2 Test 8H: Linear Equations

Front

What does the 'b' stand for in the equation y=mx+b?

Back

The 'b' represents the y-intercept of the line, which is the point where the line crosses the y-axis.

Front

What is the equation of a horizontal line that passes through the y-coordinate of 3?

Back

The equation is y = 3.

Front

How do you write the equation of a line with a given slope and a point it passes through?

Back

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

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the equation of a line with a slope of 7 that passes through the point (0,1)?

Back

The equation is y = 7x + 1.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent in a graph?

Back

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

Front

What is the equation of a line that passes through the points (4,2) and (0,6)?

Back

The equation is y = -x + 6.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.