4.1 Practice: Writing Equations in Slope-Intercept Form

Front

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

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

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

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept is the value of y when x = 0; it represents the point where the line crosses the y-axis.

Front

Given the points (-5, -6) and (2, 8), write the equation in slope-intercept form.

Back

The equation is f(x) = 2x + 4.

Front

What is the rate of change in the context of a linear function?

Back

The rate of change is the slope of the line, representing how much y changes for a unit change in x.

Front

How do you convert a word problem into a linear equation?

Back

Identify the variables, determine the relationship between them, and express it in the form y = mx + b.

Front

What is the equation for a line with a slope of 4 and a y-intercept of 3?

Back

The equation is y = 4x + 3.

Front

How can you determine the equation of a line from a table of values?

Back

Find the slope using two points from the table, then use one point to solve for the y-intercept.

Front

What does the equation y = 3x + 9 represent?

Back

This equation represents a line with a slope of 3 and a y-intercept of 9.

Front

If a fitness club starts with 80 members and gains 15 members each month, what is the equation for total membership?

Back

The equation is y = 15x + 80.