The x-intercept is 4/3 and y-intercept is -4/5
Step-by-step explanation:
Given equation of line is:
[tex]-3x-4=-5y-8[/tex]
To find the x-intercept, we put y=0 in the equation
[tex]-3x-4=-5(0)-8\\-3x-4=0-8\\-3x-4=-8\\-3x=-8+4\\-3x=-4[/tex]
Dividing both sides by -3
[tex]\frac{-3x}{3} = \frac{-4}{-3}\\x = \frac{4}{3}[/tex]
To find the y intercept, we put x=0
[tex]-3(0)-4=-5y-8\\-4 = -5y-8\\-5y-8 = -4\\-5y = -4+8\\-5y = 4\\[/tex]
Dividing both sides by -5
[tex]\frac{-5y}{-5} = \frac{4}{-5}\\y = -\frac{4}{5}[/tex]
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
