Question

What are the intercepts of $y=5 x+10 ?$

   What are the intercepts of $y=5 x+10 ?$

Algebra and Trigonometry

Algebra and Trigonometry

Michael Sullivan 11th Edition

Chapter 5, Problem 1

Instant Answer

Solved by Expert Colin O'Haire

06/28/2021

Step 1

The y-intercept is the value of y when x is 0. We substitute x = 0 into the equation $y = 5x + 10$. Show more…

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What are the intercepts of $y=5 x+10 ?$

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Key Concepts

Slope-Intercept Form

This is a way to write the equation of a straight line in the format y = mx + b, where m represents the slope of the line and b indicates the y-intercept. It provides a quick way to understand how the line behaves and where it crosses the y-axis.

Y-Intercept

The y-intercept is the point where a graph crosses the y-axis. In the slope-intercept form of a linear equation, it is represented by the constant term b and corresponds to the value of y when x equals 0.

X-Intercept

The x-intercept is the point where a graph crosses the x-axis. To find it in any equation, you set y to 0 and solve for x. This concept is essential in graphing and analyzing linear relationships.

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