Question

Graph each equation. $$ y=-3 x+5 $$

Name: Problem 45, Chapter 5: Algebra 1 Common Core
Uploaded: 2020-05-11T00:25:40-08:00
Duration: 55 s
Channel: Amrita Bhasin
Description: Graph each equation. y=-3 x+5

   Graph each equation.
$$
y=-3 x+5
$$

Algebra 1 Common Core

Randall I.… 1st Edition

Chapter 5, Problem 45

Instant Answer

Solved by Expert Amrita Bhasin

05/11/2020

Step 1

We can start by plugging in $x = -1$, $x = 0$, and $x = 1$ into the equation $y = -3x + 5$. Show more…

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Graph each equation. $$ y=-3 x+5 $$

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Key Concepts

Graphing a Linear Equation

Graphing a linear equation involves plotting the y-intercept on the coordinate plane and using the slope to plot additional points. By connecting these points, one can draw the straight line that represents the equation.

Y-intercept

The y-intercept is the point where the line crosses the y-axis. This value represents the output of the function when the input (x) is zero, providing an initial starting point for graphing the line.

Linear Equation

A linear equation represents a straight line in a coordinate system and is typically written in the slope-intercept form y = mx + b. It describes a relationship where y changes at a constant rate with respect to x.

Slope

The slope of a line is a measure of its steepness and direction. It is calculated as the ratio of the change in y to the change in x (rise over run) and indicates how much the line rises or falls as x increases.

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