SHMS Ch 4 Alg Review Warm-Up

Front

What does a positive correlation in a scatter plot indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also tends to increase.

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.

Front

How do you interpret the slope of the line y = 4x - 20 in the context of homework time?

Back

The slope of 4 means that for each additional year, students spend 4 extra minutes on homework each night.

Front

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

Back

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

Front

How do you find the value of a function g(x) at a specific point, such as g(7)?

Back

To find g(7), substitute 7 into the function g(x) and simplify.

Front

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

Back

The y-intercept is the value of y when x = 0, indicating where the line crosses the y-axis.

Front

What does it mean if a function is increasing?

Back

A function is increasing if, as x increases, the value of f(x) also increases.

Front

How do you write an equation in point-slope form given a point and a slope?

Back

Use the formula y - y1 = m(x - x1), substituting the given point (x1, y1) and slope m.

Front

What is the value of f(-3) if f(x) is represented graphically?

Back

f(-3) is the y-value corresponding to x = -3 on the graph.