Considering the definition of a line and the x- and y-intercept, the graph is attached.
Definition of linear equation
A linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.
m is the slope.
b is the ordinate to the origin.
Definition of y-intercept
The ordinate to the origin is the point where a line crosses the y-axis.
To find the y-intercept of a function, you simply do x = 0 and replace in the equation of the line. Then you solve the equation you obtained.
y-intercept in this case
If x=0, you replace this value in the equation y= -5x+8:
y= -5×0 + 8
Solving:
y= 0 + 8
y= 8
Finally, the y-intercept is (x;y)= (0; 8).
Definition of x-intercept
The x-intercept is the point where a line crosses the y-axis.
To find the x-intercept of a function, you simply do y = 0 and replace in the equation of the line. Then you solve the equation you obtained.
x-intercept in this case
If y=0, you replace this value in the equation y= -5x+8:
0= -5x + 8
Solving:
-8= -5x
(-8)÷(-5)= x
8/5= x
Finally, the y-intercept is (x;y)= (8/5; 0).
The graph is attached.