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Determine the slope and the y-intercept of the line. $$-7=\frac{1}{2} y$$

Name: Problem 14, Chapter 2: Intermediate Algebra
Uploaded: 2020-06-17T06:44:29-08:00
Duration: 31 s
Channel: Ankit Gupta
Description: Determine the slope and the y-intercept of the line. -7=(1)/(2) y

   Determine the slope and the y-intercept of the line.
$$-7=\frac{1}{2} y$$

Intermediate Algebra

Julie Miller, Molly… 5th Edition

Chapter 2, Problem 14

Instant Answer

Solved by Expert Ankit Gupta

06/17/2020

Step 1

To isolate $y$, we multiply both sides of the equation by 2. This gives us $y = -14$. Show more…

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Determine the slope and the y-intercept of the line. $$-7=\frac{1}{2} y$$

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Key Concepts

Y-intercept

The y-intercept is the point where a line crosses the y-axis. It represents the value of y when x is equal to zero and is a key component in graphing linear equations.

Slope

The slope is a measure of the rate at which the y-coordinate changes with respect to the x-coordinate. It indicates how steep a line is and the direction in which it is going, making it a fundamental concept in understanding linear relationships.

Linear Equation

A linear equation represents a straight line on the coordinate plane. It is typically written in the form y = mx + b, where m is the slope and b is the y-intercept. This form makes it easy to identify key characteristics of the line.

Slope-Intercept Form

This is a specific form of a linear equation written as y = mx + b. It directly indicates the slope (m), which shows the steepness and direction of the line, and the y-intercept (b), the point where the line crosses the y-axis.

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