Question

What is the equation of a line that passes
through the point (-1, -7) and has a slope of 5?

Answer 1

`y=5x-2`

or

`5x-y-2=0`

Explanation:

• Line is passing through the point (-1, -7)

• 
  `\implies x_1 = -1,\: y_1=-7`

• Slope of line (m) = 5

• Equation of line in point-slope form is given as:
  `y- y_1=m(x-x_1)`

• Substituting the values of
  `\implies x_1,\: y_1\: \&\: m` in the above equation, we find:

• 
  `y- (-7)=5[x-(-1)]`

• 
  `\implies y+7=5[x+1]`

• 
  `\implies y+7=5x+5`

• 
  `\implies y=5x+5-7`

• 
  `\implies y=5x-2`

• 
  `\implies 5x-y-2=0`