Question

Find the line's slope and a point on the line. y + 2 = 3/4(x - 5)

Answer 1

this types of questions is solved by this method

Answer 2

The slope of the given line
`y+2=(3)/(4)(x-5)` is
`m = (3)/(4)` and point on the given line is (5, -2).

SOLUTION:

From question, given equation = y+2=
`(3)/(4)(x-5)` --- eqn (1)

We need to find the slope of the given line and a point through which the given line passes.

Given equation is in the form of Point – Slope form. The point slope form is given as

`\mathrm{y}-\mathrm{y}_(1)=\mathrm{m}\left(\mathrm{x}-\mathrm{x}_(1)\right)` ---- eqn (2)

Where (x , y) are equation variables,

`\left({x}_(1), \mathrm{y}_(1)\right)` are coordinates of the given point.

m = slope of given line.

On comparing the both equations (1) and (2) we get the values of slope and point through which the line passes.

`y_(1) = -2`

`m=(3)/(4)`

`x_(1) =5`

Hence slope of the given line is
`m = (3)/(4)` and point on the given line is (5, -2).