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write an equation for each condition listed. 1. the line with a slope of 7 and a...

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quddoos | Valedictorian

Posted August 30, 2013 at 11:43 AM via web

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write an equation for each condition listed.

1. the line with a slope of 7 and a y-intercept of -1 (in slope intercept form).

2. the line that passes through (1,-5) and has a slope of 3 (in point slope form).

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llltkl | College Teacher | Valedictorian

Posted August 30, 2013 at 12:21 PM (Answer #1)

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1) The equation for the slope intercept form of a straight line is:

`y=mx+c` where `m` is the slope and `c` is the y intercept of the line.

Here, `m=7` and `c=-1`

Hence, the required equation is `y=7x-1rArr y-7x=-1`

2) The equation for the point slope form of a straight line is:

`y-y_1=m(x-x_1) ` where,` m` is the slope and `(x_1,y_1)` is a known point.

Here, `m=3` and `(x_1,y_1)=(1,-5)`

Hence, the required equation is `y+5=3(x-1)`

`rArr y+5=3x-3`

`rArr y-3x=-8`

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