Ch. 4.3 #1

Front

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

Back

The point-slope form of a linear equation is given by y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line.

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 identify the slope from the equation y - 3 = 2(x + 4)?

Back

In the equation y - 3 = 2(x + 4), the slope is 2.

Front

What point does the line y - 3 = 2(x + 4) pass through?

Back

The line y - 3 = 2(x + 4) passes through the point (-4, 3).

Front

What does the variable 'm' represent in the equation of a line?

Back

In the equation of a line, 'm' represents the slope of the line.

Front

What does the variable 'b' represent in the slope-intercept form of a linear equation?

Back

In the slope-intercept form of a linear equation, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How can you convert from point-slope form to slope-intercept form?

Back

To convert from point-slope form (y - y₁ = m(x - x₁)) to slope-intercept form (y = mx + b), solve for y.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is significant because it indicates the value of y when x is 0, showing where the line intersects the y-axis.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

If a line has a slope of 0, it indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

If a line has an undefined slope, it indicates that the line is vertical.