What is the equation of a line that passes through the points 2 5 and 4 3?

Answer 1

Points: (2, 5) and (4, 3)

Slope: -1

Equation: y = -x+7 in slope-intercept form

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If you want to write the slope-intercept form of the equation of the line passing through the given points, then use the two points to find the slope of the line. After that, use the slope and one of the points to find the y-intercept. For instance,

m = (5 - 3)/(2 - 4) = 2/-2 = -1(the slope)

y = mx + b (replace m with -1, and (x, y) with (4, 3))

3 = -1(4) + b

3 = -4 + b (add 4 to both sides)

7 = b

Thus, y = -x + 7 is the equation of the line passing through (2, 5) and (4, 3).