SOLUTION: Use the given conditions to write an equation for the line in point-slope form and slope-intercept. When entering the point-slope form, keep terms with y on the left and keep te

Question 997046: Use the given conditions to write an equation for the line in point-slope form and slope-intercept.
When entering the point-slope form, keep terms with y on the left and keep terms with x on the right.
Simplify any fractions as much as possible and do not use decimals.
Passing through (-1, 9) and parallel to the line whose equation is 6 x + 5 y - 5 = 0.
The point-slope form is ???? = ????
The slope-intercept form is y = ????
Found 2 solutions by josgarithmetic, lwsshak3:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Parallel, and .

Evaluate c. You can convert to the other two equation forms using the basic form and simple algebra.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Use the given conditions to write an equation for the line in point-slope form and slope-intercept.
When entering the point-slope form, keep terms with y on the left and keep terms with x on the right.
Simplify any fractions as much as possible and do not use decimals.
Passing through (-1, 9) and parallel to the line whose equation is 6 x + 5 y - 5 = 0.
point-slope form: y-yo)=m(x-xo)
finding slope:
6 x + 5 y - 5 = 0
5y=-6x-5
y=6x/5-5/5
y=6x/5-1
slope,m=6/5
yo=9
xo=-1
y-yo)=m(x-xo)
y-9=(6/5)(x-(-1)
5y-45=(6/5)(x+1)
5y-45=(6x+6
5y=6x+51(equation of line in point slope form)
***
slope-intercept form: y=mx+b, m=slope, b=y-intercept
y=mx+b
solve for b using given coordinates(-1,9) on the line
b=y-mx=9-6/5(-1)=9+6/5=51/5
equation of line in slope intercept form: y=(6/5)x+51/5

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