SOLUTION: Find the equations of the following lines. Write the equation in the form Ax + By = C With slope 31, through (− 2, 4) Through (− 3, 5) and (4, 2) With slo

Algebra ->  Linear-equations -> SOLUTION: Find the equations of the following lines. Write the equation in the form Ax + By = C With slope 31, through (− 2, 4) Through (− 3, 5) and (4, 2) With slo      Log On


   

Question 203998: Find the equations of the following lines. Write the equation in the form Ax + By = C
With slope 31, through (− 2, 4)
Through (− 3, 5) and (4, 2)
With slope 6 and y-intercept − 3.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Find the equations of the following lines. Write the equation in the form Ax + By = C

1)With slope 31, through (− 2, 4)

Via Slope-ntercept Form, y=mx%2Bb
4=%2831%29%28-2%29%2Bb
b=4%2B62=66, Y-Intercept
It follows, y=31x%2B66 --->highlight%28-31x%2By=66%29 or highlight%2831x-y=-66%29


2)Through (− 3, 5) and (4, 2)

Via Point Slope Form,

Thru point (-3,5), via y=mx%2Bb
5=%28-3%2F7%29%28-3%29%2Bb
b=5-9%2F7=%2835-9%29%2F7=26%2F7, Y-Intercept (0,26/7) = (0,3.7)
Thru point (4,2),
2=%28-3%2F7%29%284%29%2Bb
b=2%2B12%2F7=%2814%2B12%29%2F7=26%2F7

It follows, y=%28-3%2F7%29x%2B26%2F7--> %283%2F7%29x%2By=26%2F7---> highlight%283x%2B7y=26%29, (Answer)


3)With slope 6 and y-intercept − 3.

Via Slope_intercept Forn, y=mx%2Bb, wheresystem%28m=Slope%2Cb=Yintercept%29
y=6x-3
highlight%28-6x%2By=-3%29, Or highlight%286x-y=3%29


Thank you,
Jojo