Question

What is the y-intercept of the graph of y = 2.5x? a. 2.5 c. 0 b. 1 d. -1

Answer 1

The equation y = 2.5^x represents an exponential function, where the base is 2.5. The y-intercept of an exponential function of the form y = ab^x is always (0, a), where a is the initial value or the y-intercept. Therefore, in this case, the y-intercept is (0, 1), which means that the answer is (b) 1.

Answer 2

C. 0

Explanation:

General equation of a line is expressed as shown:

y = mx+c where;

m is the slope or gradient of the line

c is the intercept of the line

Given the equation of the line graph as y =2.5x

Comparing the given equation with the general equation, it is seen that m = 2.5 and c = 0 (since there is no value for the intercept)

Based on the explanation, the y-intercept of the graph is therefore 0