y=−3/2x+3 graph that on a graph and show me it

Here is the graph of the equation \( y = -\frac{3}{2}x + 3 \). The line has a slope of \(-\frac{3}{2}\), meaning it decreases by 1.5 units in the y-direction for every increase of 1 unit in the x-direction, and it crosses the y-axis at \( y = 3 \).

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Here are some related questions for further exploration:
1. How would the graph change if the slope were positive instead of negative?
2. What is the x-intercept of this graph?
3. How do you find the slope and y-intercept from a linear equation in general?
4. What happens to the graph if the constant term (the y-intercept) is changed?
5. Can you calculate the slope between any two points on the line?

**Tip:** To find the x-intercept of a line, set \( y = 0 \) and solve for \( x \).

y = −3/2x + 3 graph that on a graph and show me it

Explore how to graph the linear equation y = −3/2x + 3. This problem introduces key concepts such as slope and y-intercept, demonstrating how to visualize the line on a coordinate plane. Ideal for students in Grades 6-8 who are learning about linear functions and graphing.

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