A line passes through (-1, 7) and (2, 10). Which answer is the equation of the line?
-3x + y = 4
-3x + y = 16
-x + y = 8
-x + y = 12

Solution:

The slope of a line can be found using the formula

m = (y₂ - y₁)/ (x₂ - x₁)

The given points are (-1, 7) and (2, 10)

m = (10 - 7) / (2 - (-1))

m = 3/3

m = 1

The equation of a line with slope m and passes through P (a, b) is

(y - b) = m (x - a)

Let us make use of (2, 10)

y - 10 = 1 (x - 2)

By further simplification

y - 10 = x - 2

y - x = -2 + 10

y - x = 8

-x + y = 8

Therefore, the equation of the line is -x + y = 8.

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A line passes through (-1, 7) and (2, 10). Which answer is the equation of the line?

Summary:

A line passes through (-1, 7) and (2, 10). The equation of the line is -x + y = 8.