Question

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

Answer 1

x=(x-4)

Explanation:

Find the x-coordinate of the point that crosses the x-axis. The x-intercept is -4

Answer 2

x - intercept = -4

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