+2446 To find the equation that passes through (−4,0) and is parallel to the line y=34x−2, we must understand a few properties.
1) Parallel lines have the same slope.
This fact, alone, can help us do half the problem. The slope of the line y=34x−2 is 34. As I stated above, parallel lines have the same slope, so the equation of this unknown line is 34.
We have deduced already that this unknown line is in the form of y=34x+b. The only thing to find now is the b:
| y=34x+b | Now, plug in a coordinate that we know is on the line. In this case, we only know that (−4,0) lies on the line. Plug it in for x and y. |
| 0=34∗−41+b | Simplif the right hand side. |
| 0=−3+b | Add 3 to both sides of the equation. |
| b=3 | |
We have found both of the mystery values to construct the proper equation of a line. It is y=34x+3
+2446 To find the equation that passes through (−4,0) and is parallel to the line y=34x−2, we must understand a few properties.
1) Parallel lines have the same slope.
This fact, alone, can help us do half the problem. The slope of the line y=34x−2 is 34. As I stated above, parallel lines have the same slope, so the equation of this unknown line is 34.
We have deduced already that this unknown line is in the form of y=34x+b. The only thing to find now is the b:
| y=34x+b | Now, plug in a coordinate that we know is on the line. In this case, we only know that (−4,0) lies on the line. Plug it in for x and y. |
| 0=34∗−41+b | Simplif the right hand side. |
| 0=−3+b | Add 3 to both sides of the equation. |
| b=3 | |
We have found both of the mystery values to construct the proper equation of a line. It is y=34x+3
