Question

A reta que passa pelos pontos (2,-1) e (6,4) intersecta o eixo das abcissas no ponto (x,0) onde x é igual a:

a) -2,8
b) 2,8
c) 0,15
d) 1,8
e) 1,6

Answer 1

`x=2.8`

Explanation:

we are given that

line passes through (2,-1) and (6,4)

Firstly, we will find equation of line

First point is (2,-1)

x1=2, y1=-1

second point is (6,4)

x2=6 , y2=4

now, we can find slope

`m=(y_2-y_1)/(x_2-x_1)`

now, we can plug values

`m=(4+1)/(6-2)`

`m=(5)/(4)`

now, we can use point slope form of line

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

now, we can plug values

`y+1=(5)/(4)(x-2)`

since, we have to solve for x from (x,0)

so, we can set y=0

and then we can solve for x

`0+1=(5)/(4)(x-2)`

`5\left(x-2\right)=4`

`x-2=(4)/(5)`

`x=(14)/(5)`

`x=2.8`