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Write the equation of the line that passes through the given points (0 1) and (2 2).

Sagot :

The equation for the line connecting the two points is as follows y = 2x + x.

What is an example of an equation?

A mathematical statement known as an equation is comprised of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Briefing:

Equation of a line:

y = mx +b

Where;

m = slope

b = y-intercept

You are given the y-intercept from the point (0,2). When x = 0, y = 1

You can then see from the Eq: y = mx + b  

that b = 1

By dividing the change in y by the change in x, or "rise over run," one may get the slope, m.

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

One of the points is (x1, y1) and the other (x2, y2)

m = (1-(2)) / (0 -(2))

m = (-1)/(-2) = 1/2

The equation for the line connecting the two points is as follows:

y = 2x + x.

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