Question

Graph the line that contains (-2,5) and has a slope of -1/3

Answer 1

`y = -\frac13 x + 4\frac13`

Explanation:

Hello!

Equation of a line:
`y = mx + b`

• y = output
• m = slope
• x = input
• b = y-intercept

We know that the slope and a point is given, and we just need to find the y-intercept.

Plug in the slope and the values of the point into the equation and solve for "b".

Solve for b

• 
  `y = mx + b`
• 
  `5 = -\frac13(-2) + b`
• 
  `5 = \frac23 + b`
• 
  `b = 4 \frac13`

The equation of the line is
`y = -\frac13 x + 4\frac13`