+253 Find an equation of the line that satisfies the given conditions.
y-intercept 6; parallel to the line 2x+3y+7=0
+3454 Well, if this line is parallel to the line 2x+3y+7=0, that means it is the same as that line, but with a different y intercept
2x+3y+7=0
/3 /3 /3 ---Divide everything by 3
2/3x + y + 7/3 = 0
-2/3x -7/3 ---Subtract from both sides
y = -2/3x - 7/3
This is the same line in the slope-intercept form.
y = -2/3x + 6
I just changed the y intercept to 6, which is what we need. This is the first way we could write our answer. Or we could turn it back into the standard form of a line.
y = -2/3x + 6
+2/3x
2/3x + y = 6
or
2x + 3y = 18
Hope this helps.
+3454 Well, if this line is parallel to the line 2x+3y+7=0, that means it is the same as that line, but with a different y intercept
2x+3y+7=0
/3 /3 /3 ---Divide everything by 3
2/3x + y + 7/3 = 0
-2/3x -7/3 ---Subtract from both sides
y = -2/3x - 7/3
This is the same line in the slope-intercept form.
y = -2/3x + 6
I just changed the y intercept to 6, which is what we need. This is the first way we could write our answer. Or we could turn it back into the standard form of a line.
y = -2/3x + 6
+2/3x
2/3x + y = 6
or
2x + 3y = 18
Hope this helps.
