What is the y-intercept of a line that has a slope of One-fourth and passes through point (8, 3)?

Mathematics

2 answers:

kondor19780726 [428]3 years ago

6 0

Answer:

y-intercept is (0, 1)

Step-by-step explanation:

vichka [17]3 years ago

5 0

Answer:

y-intercept is (0, 1)

Step-by-step explanation:

The slope-intercept form: y = mx + b

m - a slope

b - y-intercept

We have a slope m = 1/4. Substitute: y = 1/4 x + b

We know, the line passes through point (8, 3) → x = 8, y = 3.

Put the values of x and y to the equation of the line:

1/4 · 8 + b = 3

2 + b = 3 |-2

b = 1

Answer: y-intercept is (0, 1)

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$\begin{aligned} \\\frac{g(x+h)-g(x)}{h} &= \frac{1}{h} \cdot [g(x+h) - g(x)] \\&= \frac{1}{h} \left( \frac{1}{x+h} - \frac{1}{x} \right)\end{aligned}$

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