Question

(x,3) and (7,-5) given m= -8/7

Answer 1

(0, 3)

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

`m` - slope

`b` - y-intercept

Given

`m=-(8)/(7)`

and point
`(7;\ -5)`

Substitute the value of the slope and the coordinates of the point ot the equation of a line:

`-5=-(8)/(7\!\!\!\!\diagup)\cdot7\!\!\!\!\diagup+b` cancel 7

`-5=-8+b` add 8 to both sides

`-5+8=-8+8+b`

`3=b\to b=3`

Therefore we have the equation of the line:

`y=-(8)/(7)x+3`

Substitute (x, 3) to the equation:

`3=-(8)/(7)x+3` subtract 3 from both sides

`3-3=-(8)/(7)x+3-3`

`0=-(8)/(7)x` divide both sides by (-8/7)

`0=x\to x=0`