Question

What is an equation of a line in point-slope form, that passes through (1, - 7) and has a slope of -⅔​

Answer 1

`y+7=-\frac23(x-1)`

Explanation:

Use the point-slope form of a linear equation:
`y-y_1=m(x-x_1)`

where:

• 
  `m` = slope
• 
  `(x_1,y_1)` = point on the line

Given:

• 
  `m=-\frac23`

• 
  `(x_1,y_1)=(1,-7)`

Substitute the given values into the formula:

`\implies y-(-7)=-\frac23(x-1)`

`\implies y+7=-\frac23(x-1)`