Math Problem Statement

Find the slope and
y -intercept to graph the equation
f ( x )

− 3 x + 4 .

Slope:

y -intercept:

Solution

To find the slope and y-intercept of the equation f(x)=3x+4f(x) = -3x + 4, we need to write it in the slope-intercept form, which is:

y=mx+by = mx + b

where:

  • mm is the slope
  • bb is the y-intercept

In the given equation, f(x)=3x+4f(x) = -3x + 4, we can see:

  • The slope (mm) is 3-3.
  • The y-intercept (bb) is 44.

Therefore:

  • Slope: m=3m = -3
  • Y-intercept: b=4b = 4

Would you like more details or any further explanation on how to graph this? Let me know!

Here are 5 related questions:

  1. How do you graph the equation f(x)=3x+4f(x) = -3x + 4?
  2. What is the meaning of the slope and y-intercept in a graph?
  3. How do you find the slope and y-intercept from a given linear equation?
  4. What does it mean when the slope is negative?
  5. How would the graph change if the equation was f(x)=3x+4f(x) = 3x + 4?

Tip: When graphing a line, start by plotting the y-intercept and use the slope to find another point. Then, draw a straight line through the two points.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form

Formulas

y = mx + b

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 7-9