Question

Graph the function. $$ h(x)=x+5 $$

Name: Problem 44, Chapter 7: Algebra 1: Concepts and Skills
Uploaded: 2020-06-26T19:26:34-08:00
Duration: 30 s
Channel: Brooke Keating
Description: Graph the function. h(x)=x+5

   Graph the function.
$$
h(x)=x+5
$$

Algebra 1: Concepts and Skills

Ron Larson, Laurie… 1st Edition

Chapter 7, Problem 44

Instant Answer

Solved by Expert Brooke Keating

06/26/2020

Step 1

The y-intercept is the point where the line crosses the y-axis. In the function $h(x) = x + 5$, the y-intercept is 5. This is because when $x = 0$, $h(x) = 0 + 5 = 5$. So, we plot the point (0,5) on the graph. Show more…

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Graph the function. $$ h(x)=x+5 $$

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Key Concepts

Linear Functions

Linear functions are mathematical relationships that form a straight line when graphed. They have the general form f(x) = mx + b, where m represents the constant rate of change (slope) and b represents the y-intercept, which is the point where the line crosses the y-axis.

Slope-Intercept Form

The slope-intercept form of a linear equation, given as y = mx + b, is a useful format that makes it easy to identify the key characteristics of a line. The coefficient m indicates how steep the line is and whether it rises or falls, while the constant b shows the point at which the line intersects the y-axis.

Graphing Linear Equations

Graphing linear equations involves plotting points and drawing a straight line that fits these points based on the equation. This process includes identifying the slope and y-intercept, using the slope to determine how the line moves through the coordinate plane, and then connecting the plotted points with a straight line.

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