Question

A line with a slope of 3 passes through the point (2, 5). Write an equation for this line in point-slope form.

Answer 1

y-5=3(x-2) is point slope form. y-y1=m(x-x1) is the general equation for point slope.

Answer 2

Equation of line whose slope is 3 and passing point (2, 5) is y = 3x - 1.

What is Slope?

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line.

Here, Slope of line = 3

          Passing point (2, 5)

Equation of line

          (y - y₁) = m (x - x₁)

          y - 5 = 3 (x - 2)

          y - 5 = 3x - 6

          y = 3x - 6 + 5

          y = 3x - 1

Thus, equation of line whose slope is 3 and passing point (2, 5) is y = 3x - 1.

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