Question

What is the equation of the line with a slope of -4/3 and a y-intercept of -2?

Answer 1

• 
  `\bold{y=-(4)/(3)x-2}`

Solution:

Hi! Let's plug the values into the slope-intercept formula.

`\large\boldsymbol{\sf{y=mx+b}}`

Where:

• 
  `\bf{m= > slope}`
• 
  `\bf{b= > y-intercept}`

Plug in the values. Pay attention to the signs.

• 
  `\bold{y=-(4)/(3)x-2}`

Problem solved! It's been a pleasure helping you.

Answer 2

The equation of the line is;

`y=-(4)/(3)x-2`

Step-by-step explanation:

The slope intercept form of line equation can be written in the form;

`y=mx+b`

where;

m = slope

b = y-intercept.

for the given question;

`\begin{gathered} \text{slope m =}-(4)/(3) \\ y-\text{intercept b = -2} \end{gathered}`

substituting the values into the equation above, we have;

`y=-(4)/(3)x-2`

Therefore, the equation of the line is;

`y=-(4)/(3)x-2`