Slope, Eqns, Plotting Points, F(X)

Front

The vertical number line is called the _______.

Back

y-axis

Front

Given g(x) = 4x - 7, find g(-9).

Back

g(-9) = -43

Front

Given that the slope is -4 and the y intercept is -4 what is the equation of the line?

Back

y = -4x - 4

Front

Given h(x) = -9x + 5, find h(8).

Back

h(8) = -67

Front

Identify the slope and y intercept in the equation of the line: y = -1/3x + 1

Back

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

Front

What is the definition of slope in a linear equation?

Back

Slope is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (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 as (0, b) in the equation y = mx + b.

Front

How do you convert the slope-intercept form to standard form?

Back

To convert y = mx + b to Ax + By = C, rearrange the equation to get all terms on one side.

Front

What is the slope of the line represented by the equation 2x + 3y = 6?

Back

The slope is -2/3 after rearranging to slope-intercept form.