Question

6. Use the word bank to complete the sentences below. x-coordinate y-coordinate x-intercept | y-intercept solution of a graph is the location where the graph a. The crosses the x-axis. b. The crosses the y-axis. C. The of a graph is the location where the graph d. The of the y-intercept is always zero. of the x-intercept is always zero. to a function or group. e. The x-intercept is the

Answer 1

The y-intercept of a graph is where the line crosses the y-axis, and its x-coordinate is always zero, while the x-intercept is where the line crosses the x-axis, and its y-coordinate is always zero. The b in the equation y = mx + b represents the y-intercept, and the slope m describes the steepness of the line. An example is a graph with a y-intercept at 9 and slope 3.

Step-by-step explanation:

Using the word bank provided, we can correctly complete the sentences concerning graphing terminology:

• The y-intercept of a graph is the location where the graph crosses the y-axis.
• The x-coordinate of the y-intercept is always zero.
• The x-intercept of a graph is the location where the graph crosses the x-axis.
• The y-coordinate of the x-intercept is always zero.
• The solution of a graph is to a function or group.
• The x-intercept is the x-coordinate where the graph crosses the x-axis, similarly, the y-intercept is the y-coordinate where the graph crosses the y-axis at (0, y).

To illustrate, consider a linear equation y = mx + b. Here, b represents the y-intercept and is the value of y when x is 0. In contrast, m represents the slope of the line, which describes its steepness. An example of this is a line graph with a y-intercept at 9 and a slope of 3, which means the line rises 3 units vertically for every 1 unit it moves horizontally.

Learn more about y-intercept and x-intercept