Respuesta :

The first choice is correct.

Explanation:

The formula for slope is m=(y₂-y₁)/(x₂-x₁). Once we find the slope using that formula, it goes in place of m in y=mx+b.

We do not yet have the y-intercept, but we can use one of the points to find it. We substitute the x-coordinate of one point in for x and the y-coordinate of the same point in for y; then we solve for b. This gives us the y-intercept.

Answer:

option: A is correct.

Find the slope using the formula [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]  and then substitute one point into the  equation,y=mx+b to find the y-intercept.

Step-by-step explanation:

We know that the slope-intercept form of a line is given by:

                           [tex]y=mx+b[/tex]

where m is the slope of a line and b is the y-intercept of a line.

and the slope 'm' is given using the formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

where [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] are the points through which the line passes.

and on putting the value of m and one point in place of (x,y) we get the y-intercept as well.

            Hence, option:  A is the correct answer.

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