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:
[tex](x_1,y_1) = (5,1)[/tex]
[tex](x_2,y_2) = (1,4)[/tex]
The slope (m) is:
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{4 -1}{1-5}[/tex]
[tex]m = \frac{3}{-4}[/tex]
[tex]m = -\frac{3}{4}[/tex]
The equation of the graph is:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = -\frac{3}{4}(x - 5) + 1[/tex]
[tex]y = -\frac{3}{4}x +\frac{15}{4} + 1[/tex]
[tex]y = -\frac{3}{4}x +\frac{15+4}{4}[/tex]
[tex]y = -\frac{3}{4}x +\frac{19}{4}[/tex]
To calculate the y intercept; set [tex]x = 0[/tex]
[tex]y = -\frac{3}{4}*0 +\frac{19}{4}[/tex]
[tex]y = \frac{19}{4}[/tex] ---- y intercept
