Math Problem Statement

What is the slope of the line y = 5x - 4?

Solution

The equation given in the image is:

y=5x4y = 5x - 4

To determine the slope, recall that the slope of a line in the slope-intercept form y=mx+by = mx + b is the coefficient of xx.

Here, the equation is already in slope-intercept form:

  • mm (slope) = 5
  • bb (y-intercept) = -4

Therefore, the slope of the line is 5.

Would you like further details on how to interpret this or other related questions?

Here are 5 related questions:

  1. How do you find the y-intercept from an equation in slope-intercept form?
  2. What is the significance of the slope in real-world scenarios?
  3. Can the slope of a vertical line be defined using this method?
  4. How do you find the equation of a line if you know the slope and a point on the line?
  5. What does a negative slope represent in a graph?

Tip: In slope-intercept form y=mx+by = mx + b, the slope mm indicates the steepness and direction of the line (positive slope = upward, negative slope = downward).

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope

Formulas

y = mx + b

Theorems

Slope-intercept form of a line

Suitable Grade Level

Grades 7-9