Question

Write the equation of the line that passes through (1, 3) and has a slope of 2 in point-slope form.

y – 1 = 2(x – 3)
y – 3 = 2(x – 1)
x – 1 = 2(y – 3)
x – 3 = 2(y – 1)

Answer 1

second on the list

m = 2

y = 3

x = 1

plug it all in and you get option #2

Answer 2

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The correct option is A, y-1 = 2(x-3).

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

(y- y₁) = m(x - x₁)

where,

x and x₁ is the coordinate of the x-axis,

y and y₁ is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

To get the equation for the line that passes through  (1, 3) and has a slope of 2 in point-slope form, substitute the value of the slope and the point in the general equation,

y-1 = 2(x-3)

Hence, the equation of the line that passes through (1, 3) and has a slope of 2 in point-slope form is y-1 = 2(x-3).

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