Question

Determine the intercepts of the line: -3x-4=-5y-8

Answer 1

The x-intercept is 4/3 and y-intercept is -4/5

Step-by-step explanation:

Given equation of line is:

$-3x-4=-5y-8$

To find the x-intercept, we put y=0 in the equation

$-3x-4=-5(0)-8\\-3x-4=0-8\\-3x-4=-8\\-3x=-8+4\\-3x=-4$

Dividing both sides by -3

$\frac{-3x}{3} = \frac{-4}{-3}\\x = \frac{4}{3}$

To find the y intercept, we put x=0

$-3(0)-4=-5y-8\\-4 = -5y-8\\-5y-8 = -4\\-5y = -4+8\\-5y = 4$

Dividing both sides by -5

$\frac{-5y}{-5} = \frac{4}{-5}\\y = -\frac{4}{5}$

Hence,

The x-intercept is 4/3 and y-intercept is -4/5

Keywords: Equation of line

Learn more about equation of line at:

• brainly.com/question/13219835
• brainly.com/question/1836777

#LearnwithBrainly