Question

Please respond to the question below in your own words with proper explanations and use of math vocabulary. Here is a function.

What is the function equation in function notation?

Enter your answer in the box. Show your work. Explain how you found your numbers for the slope and y-intercept.

Answer 1

Slope = - 3, y-intercept is 4 and the equation is y = - 3x + 4.

Explanation:

Slope of a straight line passing through two given points
`(x_(1),y_(1))` and
`(x_(2),y_(2))` is given by the formula

`m = (y_(2) - y_(1))/(x_(2) - x_(1))`.

Now, the given graph of the straight line passes through the points (0,4) and (1,1) points.

Hence, the slope of the straight line will be =
`(1 - 4)/(1 - 0) = - 3`

Again, the straight line intersects the y-axis at point (0,4) point. hence, its y-intercept is 4.

Therefore, the straight line has equation

y = - 3x + 4 (Answer)