Day 7: Graphing Linear Key Features

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, y).

Front

How do you find the y-intercept from the equation 4x + 2y = -12?

Back

Set x = 0 and solve for y. The y-intercept is -6.

Front

What does the zero of a function represent on a graph?

Back

The zero of a function is the x-value where the function's output (y-value) is zero, indicating where the graph crosses the x-axis.

Front

Identify the zero of the function represented by the point (-2, 0).

Back

The zero is -2.

Front

How do you find the y-intercept from the equation 5x + y = 5?

Back

Set x = 0 and solve for y. The y-intercept is (0, 5).

Front

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

Back

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

Front

Write the equation of the line with a slope of 1/3 and a y-intercept of -2.

Back

The equation is y = 1/3x - 2.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction it moves (positive or negative) as x increases.

Front

How can you determine the slope from two points on a line, (x1, y1) and (x2, y2)?

Back

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

Front

What does it mean if a line has a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.