y-3=3(x+1) what is the x-intercept of this line? & what is the equation in standard form of a line parallel to the given line that passes through (o,-2)?

Asked on by quddoos

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llltkl | College Teacher | (Level 3) Valedictorian

Posted on

At the x intercept y=0. So,


`rArr -3=3x+3`

`rArr 3x=-6`

`rArr x=-2`

Hence, the x intercept of the line is -2.

2) The given line is y-3=3(x+1)

Expressing it in the slope intercept form gives:


Hence, its slope,m=3.

The point slope form of the parallel line is:


Here, `(x_1,y_1)=(0,-2)` and` m=3.`

Plugging in the values we get:


`rArr y+2=3x`

`rArr 3x-y=2`

Therefore, the equation of the parallel line in the standard form is:


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