Question

Question -

Put following equation in a line unit slope-intercept form, simplifying all fractions.

6x+15y= -75

Answer 1

`y=-(2)/(5)x - 5`

Explanation:

To convert this equation in standard form to slope-intercept form, we have to solve for y:

6x + 15y = -75

↓ subtract 6x from both sides

15y = -6x - 75

↓ divide both sides by 15

`y = -(6)/(15)x - 5`

↓ simplify the fraction

`\boxed{y=-(2)/(5)x - 5}`

From this form, we can identify the slope as -2/5 and the y-intercept as -5.