Question

Which are the slope and the y-intercept linear function that is represented by the graph?

Answer 1

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the graph is not given.

The general step to calculate slope and y intercept is as follows;

Assume any two points on the graph are:

$(x_1,y_1) = (5,1)$

$(x_2,y_2) = (1,4)$

The slope (m) is:

$m = \frac{y_2 -y_1}{x_2 - x_1}$

$m = \frac{4 -1}{1-5}$

$m = \frac{3}{-4}$

$m = -\frac{3}{4}$

The equation of the graph is:

$y = m(x - x_1) + y_1$

This gives:

$y = -\frac{3}{4}(x - 5) + 1$

$y = -\frac{3}{4}x +\frac{15}{4} + 1$

$y = -\frac{3}{4}x +\frac{15+4}{4}$

$y = -\frac{3}{4}x +\frac{19}{4}$

To calculate the y intercept; set $x = 0$

$y = -\frac{3}{4}*0 +\frac{19}{4}$

$y = \frac{19}{4}$ ---- y intercept