## Trending News

Promoted

# MATH QUESTION: Find the equation of the line that has..?

The same x-intercept as 4x + 5y + 40 = 0 and the same slope as the line 3x - 4y + 8 = 0

### 1 Answer

Relevance

- icemanLv 74 months ago
Ax + By = C => equation of the line in standard/general form

4x + 5y = -40 => set y to zero to find the x-intercept:

4x = -40

x = -10 => x-intercept

3x - 4y = -8

Slope = -A/B = -(-3/4) = 3/4

y = mx + b => x-intercept = -10 is at y = 0, slope is 3/4, solve for b:

0 = (3/4)(-10) + b

b = 30/4 = 15/2

y = (3/4)x + 15/2 => answer: in slope intercept form

3x - 4y = -30 => answer in standard form

Still have questions? Get your answers by asking now.