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Chapter 1: Problem 35

Find an equation of the line that has slope \(m\) and \(y\) -intercept \(b\). $$ m=3 ; b=4 $$

Short Answer

Expert verified
The equation of the line with slope \(m = 3\) and y-intercept \(b = 4\) is \(y = 3x + 4\).

Step by step solution

01

Find the slope and y-intercept

The problem already gives us the slope (m) and y-intercept (b), so we have: m = 3 b = 4
02

Use the slope-intercept form of a linear equation

The slope-intercept form of a linear equation is y = mx + b. We will plug in the values of m and b that we found in the previous step: y = 3x + 4
03

Write the final equation

The equation of the line with slope 3 and y-intercept 4 is: y = 3x + 4

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