Math Problem Statement

Convert the equation 5x + 2y = 10 into slope-intercept form.

Solution

To convert the equation 5x+2y=105x + 2y = 10 into slope-intercept form, which is y=mx+by = mx + b, we need to solve for yy.

  1. Start with the given equation: 5x+2y=105x + 2y = 10

  2. Subtract 5x5x from both sides to isolate 2y2y on the left: 2y=5x+102y = -5x + 10

  3. Divide each term by 2 to solve for yy: y=52x+5y = -\frac{5}{2}x + 5

Thus, the slope-intercept form of the equation is: y=52x+5y = -\frac{5}{2}x + 5

Answer:

The correct option is: D) y=52x+5\text{D) } y = -\frac{5}{2}x + 5

Would you like further details on the steps or have any questions?


Here are some related questions for further practice:

  1. How would you convert the equation 3x4y=123x - 4y = 12 into slope-intercept form?
  2. What is the slope of the line given by the equation y=52x+5y = -\frac{5}{2}x + 5?
  3. How do you determine the y-intercept of a line from its equation in slope-intercept form?
  4. How would you rewrite 7x+y=27x + y = 2 in slope-intercept form?
  5. If a line has a slope of 52-\frac{5}{2} and passes through (0,5)(0, 5), what is its equation?

Tip:

In slope-intercept form y=mx+by = mx + b, mm represents the slope, and bb represents the y-intercept.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

Slope-intercept form y = mx + b

Theorems

-

Suitable Grade Level

Grades 7-9