Question

Write the point slope form of the equation of the line described question 17

Answer 1

`y - 2 = -\frac34(x - 4)`

Explanation:

Hello!

The equation in #17 is written in Slope-Intercept Form:
`y=mx+b`

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

Point Slope form is the equation given slope and a point:
`y - y_1 = m(x - x_1)`

• y = y - value of second point
• y1 = y - value of first point
• m = slope
• x = x - value of second point
• x1 = x - value of first point.

The point given to us is (4,-2), which we can use as x1 and y1.

The slope is given in the slope-intercept form equation: -3/4

Plug in the values to find the equation:

• 
  `y - y_1 = m(x - x_1), (4,2), -\frac34`
• 
  `y - 2 = -\frac34(x - 4)`

The equation is
`y - 2 = -\frac34(x - 4)`.