Question

Write the equation of the line with the given information in point-slope form. (1, 4); slope = -2

Answer 1

We have to write the equation of a line in the point-slope form, and for doing so, we remember it:

`y-y_1=m(x-x_1_{})`

where m represents the slope, and

`(x_1,y_1)\text{ is a point of the line}`

As we have that m=-2, and a point is (1,4) we can just replace in the form above, to obtain:

`y-4=-2(x-1)`

Which is the point-slope form of the line with slope -2 and point (1,4).