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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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)`
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