Respuesta :

Answer:

y = 2x + 1

Step-by-step explanation:

This line goes through the points (-2, 0) (the x-intercept) and (0, 1) (the y-intercept).

As we move from -2 to 0, x increases by 2, and at the same time y increases from 0 to 1, that is, by 1.  Thus, the slope of this line is m  = rise / run = 2/1 = 2.

Starting with the slope-intercept formula for a straight line:

y = mx + b becomes y = 2x + 1.    (We had already found b.)

The equation of line is x - 2y + 2 = 0.

What is Equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Here, x-intercept = -2

         y- intercept = 1

Now, equation of line

             x/a + y/b = 1

              x/-2 + y/1 = 1

              (x - 2y)/-2 = 1

               x - 2y = -2

               x - 2y + 2 = 0

Thus, the equation of line is x - 2y + 2 = 0.

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