Question

Write an equation in point slope form for the line with a slope of 3 passes through (1,2)

Answer 1

The equation in point slope form for the line with a slope of 3 passes through (1,2) is:

y - 2 = 3*(x - 1)

How to write the linear equation?

The general linaer equation that passes trhough a point (h, k) that has a slope of m can be written as:

y - k = m*(x - h)

Here we know that the slope is 3, and the point is (1, 2), then we can write this linear equation as:

y - 2 = 3*(x - 1)

Answer 2

`y-2=3(x-1)`

Explanation:

The point-slope form of a line is given as:

`y-y_1=m(x-x_1)`

Where

m is the slope

`x_1` is the x-coordinate of the point given (passing through the line)

`y_1` is the y-coordinate of the point given (passing through the line)

Now,

Given,

Slope = m = 3

`x_1` = 1

`y_1` = 2

Now, we simply plug these into the formula for point-slope form of a line:

`y-y_1=m(x-x_1)\\y-2=3(x-1)`

This is the point-slope form.