Math Problem Statement

Write the slope-intercept form of the equation with slope 3 and y-intercept -2. Slope-intercept form: y = mx + b

Solution

The slope-intercept form of a line is:

y=mx+by = mx + b

Where:

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

Given:

  • Slope m=3m = 3,
  • Y-intercept b=2b = -2.

Substitute these values into the slope-intercept form:

y=3x2y = 3x - 2

Correct Answer:

The correct choice is "y = 3x - 2".


Would you like a further explanation or breakdown of the slope-intercept form? Let me know!

Related Questions:

  1. How do you find the slope of a line given two points?
  2. Convert the equation y2=3(x1)y - 2 = 3(x - 1) into slope-intercept form.
  3. What does a positive slope tell us about the direction of a line?
  4. How can you graph a line using the slope-intercept form?
  5. Rewrite y=4x+7y = -4x + 7 into standard form.

Tip:

To graph a line in slope-intercept form y=mx+by = mx + b, start with the y-intercept bb on the y-axis, then use the slope mm (rise/run) to find additional points.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form

Formulas

Slope-intercept form: y = mx + b

Theorems

Concept of slope and y-intercept

Suitable Grade Level

Grades 6-8