function f(x) has a slope of 3/2 and a y-intercept of 6. explain how the graph of f(x) could be used to find the x-intercept

Mathematics

1 answer:

kvv77 [185]3 years ago

5 0

Answer:

x - intercept = -4

Step-by-step explanation:

We are told the function f(x) has a slope of 3/2 and a y-intercept of 6.

From general line equation, the formula is; y = mx + c

Where m is the slope and c is the intercept.

Thus, the equation is;

f(x) = (3/2)x + 6

Now,to find the x-intercept on the graph, it will be at a point where f(x) = 0.

Thus let's put 0 for f(x) to find the x-intercept.

0 = (3/2)x + 6

(3/2)x = -6

x = -6 × 2/3

x = -4

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