## deiboureijane16 3 years ago The New Line. HELP

1. deiboureijane16

A line has the same slope as the line represented by 4x - 3y +15 =0 and the same y-intercept as the line represented by 2x + y +6=0

2. deiboureijane16

Determine the equation of this line.

3. MrYantho

1. First determine the slope of your existing line by placing in y=mx+b form and getting m 2. Determine the y-0int of the other line by placing in y=mx+b form and taking the b value

4. Sera

The slope of the first equation: 3y=4x+15 y=(4/3)x+5 slpe is 4/3 Intercept of the second equation: y=-2x-6 intercept is -6 So the final equation is y=(4/3)x-6

5. deiboureijane16

why did it turn from a 15 to a 5?

6. Sera

divide 15 by the coefficient of y, which is 3

7. deiboureijane16

why is the 4x not turned to a -4x but for the 2x it was turned to a -2x?

8. alexwee123

because when you isolate y in 4x - 3y +15 =0 you would subtract 15 and 4x on both sides then divide by -3 -3y=-4x-15 y=4/3x+5

9. alexwee123

same thing for the second equation