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Write the slope-intercept form of the equation of the line through the given points (2, −5) and (0, 1)

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Final answer:

The slope-intercept form of the equation of the line through the given points (2, -5) and (0, 1) is y = -3x + 1.

Step-by-step explanation:

To write the slope-intercept form of the equation of a line, we need to determine the slope and the y-intercept.

To find the slope, we use the formula: slope = (change in y)/(change in x).

Using the given points (2, -5) and (0, 1), we have:

change in y = -5 - 1 = -6

change in x = 2 - 0 = 2

slope = (-6)/(2) = -3

Next, we can use the formula y = mx + b, where m is the slope and b is the y-intercept, to find the equation of the line.

Using the point (2, -5), we have:

-5 = -3(2) + b

-5 = -6 + b

b = 1

Therefore, the equation of the line is y = -3x + 1.

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