Question

Graph the line with slope -3 passing through the point (3,-4)

Answer 1

Given:
`\textsf{Slope = -3, Passes through (3, -4)}`

Find:
`\textsf{Equation in slope-intercept form}`

Solution: The first step that we need to take is to plug the given values into the point-slope formula which would help us out since we have both the slope and a point. Using that we would then distribute on the right side of the expression and then subtract 4 from both sides which would isolate y.

Plug in the values

• 
  `y - y_1 = m(x - x_1)`

• 
  `y - (-4) = -3(x - 3)`

Distribute

• 
  `y + 4 = (-3 * x) + (-3 * - 3)`

• 
  `y + 4 = -3x + 9`

Subtract 4 from both sides

• 
  `y + 4 - 4 = -3x + 9 - 4`

• 
  `y = -3x + 9 - 4`

• 
  `y = -3x + 5`

Therefore, after plugging in the values and completing the rest of the steps we were able to determine that equation of the data provided would be
`y = -3x + 5`.