3 years ago

Determine the intercepts of the line 4x-3y=17

Mathematics

1 answer:

bezimeni [28]3 years ago

3 0

Answer:

x-intercept = 17/4 and y = -17/3

Step-by-step explanation:

To find the intercepts: set x = 0 for the y-intercept and solve the equation and set y =0 for the x- intercept and solve the equation.

4x - 3y = 17

4(0) - 3y = 17

0 - 3y = 17

y = 17 /-3

y = -17/3 = -5 2/3 y-intercept = -5 2/3.

The ordered pair on the graph is (0, -17/3)

4x - 3(0) = 17

4x - 0 = 17

4x = 17

x = 17/4 x-intercept = 17/4

The ordered pair on the graph is (17/4, 0)

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Hi there!

1) Remember a definition.

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If $f$ is continuous on a given closed interval [a,b], and f(a)≠f(b) and f(a)<k<f(b) then there has to be at least one number 'c' between 'a' and 'b', such that f(c)=k

----

(Check the first graph as an example)

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