Answer:
8
Explanation:
The general form of the slope-intercept form of the equation of a line is given as;
[tex]y=mx+b[/tex]
where m = slope of the line
b = y-intercept of the line
Given the below function;
[tex]f(x)=-\frac{3}{4}x+1[/tex]
If we compare both equations, we can see that the slope(m) = -3/4 and the y-intercept(b) = 1. It means that the graph will have a negative slope will cut the y-axis at y = 1.
Given;
[tex]g(x)=-\frac{1}{2}x-1[/tex]
We can deduce that the slope(m) of this line = -1/2 and the y-intercept(b) = -1. It means that the graph of this line will also have a negative slope and will cut the negative y-axis at y = -1.
See below the graph of both lines;
From the above graph of both functions, we can see that the two lines intersect at x = 8.
Therefore the value of x for which f(x) = g(x) is 8.8
