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

Answer:

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

Step-by-step 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

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$.

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 = $\frac{1 - 4}{1 - 0} = - 3$

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)