Math Problem Statement

answer with 100% that its correct

What is the first step in graphing the linear equation y = 4x - 3?

Solution

The equation given is y=4x3y = 4x - 3, which is in slope-intercept form y=mx+by = mx + b, where m=4m = 4 is the slope and b=3b = -3 is the y-intercept.

The first step in graphing this linear equation is to plot the y-intercept. The y-intercept is the point where the line crosses the y-axis, which happens when x=0x = 0.

From the equation y=4(0)3y = 4(0) - 3, we get: y=3y = -3 Thus, the point to plot is (0,3)(0, -3).

The correct values to complete the sentence are:
Plot the point (0,3)(0, -3).

Would you like more details on how to graph the rest of the equation? Here are five questions to further your understanding:

  1. What does the slope m=4m = 4 represent in the graph of this equation?
  2. How can you find another point on the line using the slope?
  3. Why is the y-intercept important for graphing linear equations?
  4. What would the graph look like if the slope were negative?
  5. How would changing the y-intercept affect the position of the graph?

Tip: When graphing, always start by plotting the y-intercept, then use the slope to find additional points!

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form

Formulas

y = mx + b

Theorems

Slope-Intercept Form Theorem

Suitable Grade Level

Grades 7-9