Math Problem Statement
The equation of a straight line is y = 5x—4. What is the gradient of the line?
Solution
The equation of the straight line is given in the form , which is the slope-intercept form , where:
- is the gradient (slope) of the line, and
- is the y-intercept.
In your equation, . Therefore, the gradient of the line is 5.
Would you like further details or explanations?
Here are 5 related questions to consider:
- How do you find the gradient of a line if it's not in slope-intercept form?
- What does the gradient of a line represent graphically?
- How do you determine the y-intercept from an equation like this?
- What would happen to the gradient if the line were steeper or flatter?
- How do you find the equation of a line given two points?
Tip: The gradient represents how steep the line is; a larger gradient means a steeper slope.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Slope-Intercept Form: y = mx + c
Theorems
Slope-Intercept Theorem
Suitable Grade Level
Grades 7-9