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Sagot :

The slope-intercept form of a line

Given a line with a slope m and a y-intercept b, the equation can be written as:

y = mx + b

We are given the point (5,0) through which the line passes and the slope m=2. The slope can be substituted in the equation:

y = 2x + b

To determine the value of b, we can substitute the coordinates of the given point in the equation:

0 = 2*5 + b

Operating:

10 + b = 0

Solving:

b = -10

The required equation is:

y = 2x - 10

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