A) what is the equation of the line that passes through the given pair points in slope-intercept form? (2, 5.1) and (−1, −0.5) b) what is the equation of the line that passes through the given pair points in slope-intercept form? (−2, 3) and (3, −4)

A)

The slope-intercept form:

m - slope

b - y-intercept

The formula of a slope:

We have the points (2, 5.1) and (-1, -0.5). Substitute:

Therefore we have:

Put the coordinates of the point (-1, -0.5) ot the equation:

    multiply both sides by 2

      add to both sides

           divide both sides by 2

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B)

We have the points (-2, 3) and (3, -4).

Calculate the slope:

Therefore we have:

Put the coordinates of the point (-2, 3) to the equation of a line:

             subtract from both sides