Question

Graph using the slope and $y$ -intercept. $$ y=4 x-1 $$

   Graph using the slope and $y$ -intercept.
$$
y=4 x-1
$$

Elementary Algebra

Elementary Algebra

John Redden 1st Edition

Chapter 3, Problem 50

Instant Answer

Solved by Expert James Kiss

02/05/2022

Step 1

The equation is in the form $y = mx + c$, where $m$ is the slope and $c$ is the y-intercept. In this case, $m = 4$ and $c = -1$. Show more…

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Graph using the slope and $y$ -intercept. $$ y=4 x-1 $$

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Key Concepts

Y-intercept

The y-intercept is the point where a line crosses the y-axis, which occurs when the x-value is zero. This value provides a starting point for plotting the graph and is an essential component of the slope-intercept form.

Slope-Intercept Form

The slope-intercept form of a linear equation is expressed as y = mx + b, where m represents the slope and b represents the y-intercept. This format simplifies the process of graphing a line by clearly showing both the direction and the starting point on the y-axis.

Slope

The slope represents the rate of change of a linear function and is defined as the ratio of the vertical change (rise) to the horizontal change (run). It determines the steepness and direction of the line, indicating how much the y-value changes for every one unit increase in the x-value.

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