Answer:
d) 18
Step-by-step explanation:
The question is on graphing linear functions
Given the table of values of x and y, plot the graph and observe the gradient of -2 and the y-intercept at (0,-5) as shown on the attached graph with blue color.
Use the given function y=7x+13 to formulate a table of values of x with corresponding values of y
x y
-3 -8
0 13
1 20
With the above values, plot the graph of y=7x+13 and obtain the y-intercept at (0,13) as shown in the red line graph attached.
To find the distance between the y-intercepts of the two graphs we apply the expression for distance between two points;
[tex]D=\sqrt{(X2-X1)^2 +(Y2-Y1)^2 \\\\[/tex][/tex]
points are (0,-5) and (0,13)
D=√ (0-0)² + (13--5)²
D=√(18)²
D=18 units
