Answered

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A graph of a line goes through the points (zero, four) and (negative six, zero).


Find the equation of the line using exact numbers.

Sagot :

MrRoyal

The equation of the line is y = 2/3x + 4

How to find the equation of the line using exact numbers?

The points on the line are given as:

(zero, four) and (negative six, zero).

Rewrite the points properly as

(0, 4) and (-6, 0)

The slope of the line is calculated using:

m =(y2 - y1)/(x2 - x1)

Substitute the known values in the above equation

m = (0 - 4)/(-6 - 0)

Evaluate

m = 2/3

The equation of the line is then calculated as:

y = mx + b

This gives

y = 2/3x + b

So, we have:

4 = 2/3 * 0 + b

Evaluate

b = 4

Substitute b = 4 in y = 2/3x + b

y = 2/3x + 4

Hence, the equation of the line is y = 2/3x + 4

Read more about linear equations at:

https://brainly.com/question/1884491

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