Answer:
line A has a greater slope than line B
Explanation:
Complete question;
Consider two lines. Line A is given by the function g(x) = 4x − 9, while Line B contains the points (0, 5) and (2, 12). Which statement is true? A) Line A and Line B have the same slope. B) Line A has a greater slope than Line B. C) Line B has a greater slope than Line A. D) Line A slope is less than the slope of Line B.
Given the function expressed by line A as g(x) = 4x - 9
Compare with general equation of a line g(x) = mx+b
mx = 4x
m = 4
Hence the slope of the line is 4
If Line B contains the points (0, 5) and (2, 12);
Slope = y2-y1/x2-x1
Slope of line B = 12-5/2-0
Slope of line B = 7/2 = 3.5
This shows that line A has a greater slope than line B