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2 years ago

Determine the linear function for a graph that is a line with a slope of 1/7

Mathematics

2 answers:

VARVARA [1.3K]2 years ago

8 0

The linear equation is y = (1/7)*x + 11/7.

<h3>How to get the linear equation?</h3>

The general linear equation is:

y = a*x + b

Where a is the slope.

Here we know that a = (1/7), then the line is:

y = (1/7)*x + b

We also know that the line contains the point (-4, 1), this means that when x = -4, we must have y = 1.

Replacing that, we get:

1 = (1/7)*(-4) + b

1 + 4/7 = b

7/7 + 4/7 = b

11/7 = b

So the linear equation is:

y = (1/7)*x + 11/7.

If you want to learn more about linear equations:

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Nezavi [6.7K]2 years ago

3 0

The equation of the linear function of the line is: y = 1/7x + 11/7.

<h3>What is a Linear Function Equation?</h3>

A linear function equation is modelled as, y = mx + b, where m is the slope and b is the y-intercept.

Slope (m) = 1/7, and the line passes through (-4, 1), therefore, substitute (x, y) = (-4, 1) and m = 1/7 into y = mx + b:

1 = 1/7(-4) + b

1 = -4/7 + b

1 + 4/7 = b

11/7 = b

b = 11/7

Plug in the values of m and b into y = mx + b:

y = 1/7x + 11/7

The equation of the linear function is: y = 1/7x + 11/7

Learn more about linear function on:

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