Which of these values represents the slope of the line in the equation \(y = 3x + 4\)?

Which of these values represents the slope of the line in the equation \(y = 3x + 4\)?

• A. 3
• B. 4
• C. 7
• D. 0

Answer: (A)

In the equation \(y = 3x + 4\), it is written in the slope-intercept form, which is given by the formula \(y = mx + b\). In this format, \(m\) represents the slope of the line, while \(b\) indicates the y-intercept, the point at which the line crosses the y-axis. By comparing this equation to the standard form, you can see that the coefficient of \(x\) is 3. This indicates that for every unit increase in \(x\), the value of \(y\) increases by 3 units. Thus, the slope of the line is 3. The other values provided do not represent the slope of the line. The value 4 represents the y-intercept, which is where the line crosses the y-axis at the point (0, 4). The values 7 and 0 are unrelated to the slope of this particular line. Therefore, the slope of the line in the equation \(y = 3x + 4\) is correctly identified as 3.

In the equation (y = 3x + 4), it is written in the slope-intercept form, which is given by the formula (y = mx + b). In this format, (m) represents the slope of the line, while (b) indicates the y-intercept, the point at which the line crosses the y-axis.

By comparing this equation to the standard form, you can see that the coefficient of (x) is 3. This indicates that for every unit increase in (x), the value of (y) increases by 3 units. Thus, the slope of the line is 3.

The other values provided do not represent the slope of the line. The value 4 represents the y-intercept, which is where the line crosses the y-axis at the point (0, 4). The values 7 and 0 are unrelated to the slope of this particular line. Therefore, the slope of the line in the equation (y = 3x + 4) is correctly identified as 3.