Graph the linear function. h(x)=-5x*h*(*x*)=−5*x* . Keyboard Instructions Initial graph state The horizontal axis goes from -6.4 to 6.4 with ticks spaced every 2 unit(s). The vertical axis goes from -10.6 to 9.6 with ticks spaced every 2 unit(s)

Here is the graph of the linear function \( h(x) = -5x \). The line has a negative slope of \(-5\), meaning it decreases steeply as \(x\) increases.

Would you like more details on the graph or function properties?

Here are some related questions to expand your understanding:
1. How would the graph change if the slope were positive instead of negative?
2. What happens to the graph if we change the function to \( h(x) = -5x + 3 \)?
3. How does altering the slope affect the steepness of the line?
4. What is the significance of the y-intercept in this linear function?
5. How can we determine the x-intercept of the function \( h(x) = -5x \)?

**Tip:** For linear functions \( y = mx + b \), the value of \( m \) determines the slope, which affects how steeply the line rises or falls.

Graph the linear function h(x) = -5x. The horizontal axis goes from -6.4 to 6.4 with ticks spaced every 2 units. The vertical axis goes from -10.6 to 9.6 with ticks spaced every 2 units.

Learn to graph the linear function h(x) = -5x, with a slope of -5. This solution explains the effect of a negative slope and covers key concepts in graphing linear functions. Ideal for students in Grades 8-10.

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