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

Algebra ->  Linear-equations -> 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      Log On


   

Question 997045: 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 (2, -10) and perpendicular to the line whose equation is x - 3 y + 7 = 0.
The point-slope form is ???? = ????
The slope-intercept form is y = ????
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Since students will usually learn to understand slope intercept form earlier than standard form (as your given is written), one can convert the given equation into slope-intercept form, first:

x-3y%2B7=0
-3y=-x-7
y=x%2F3%2B7%2F3

Slope is 1%2F3. Any line perpendicular to y=x%2F3%2B7%2F3 must have slope which is negative reciprocal of 1%2F3, which will be -3.

The line being searched for must include the point (2,-10) and have slope -3. Again, you can use the slope-intercept form equation.
Your equation being searched for is some y=-3x%2Bb,
y%2B3x=b
substitute the included point
b=-10%2B3%2A2
b=-10%2B6
b=-4
-
The line is now found, and in slope-intercept form, highlight%28y=-3x-4%29.

Can you manage the point-slope form on your own?