) Lucy, Soling, Kyan, and Daniel are ordering dinner for their families. Each person spends
1 answer:
You might be interested in
Look at the picture.
Therefore we have the equation:
10y - 29 = 7y + 19 <em>add 29 to both sides</em>
10y = 7y + 48 <em>subtract 7y from both sides</em>
3y = 48 <em>divide both sides by 3</em>
y = 16
3x + 7 = 5x - 21 <em>subtract 7 from both sides</em>
3x = 5x = -28 <em>subtract 5x from both sides</em>
-2x = -28 <em>divide both sides by (-2)</em>
x = 14
9514 1404 393
Answer:
- parallel: y = 4x -6
- perpendicular: y = -1/4x +27/4
Step-by-step explanation:
If we want the new line to be written in slope-intercept form, we need to find the new value of the y-intercept. The equation of the line is ...
y = mx +b . . . . . . . for slope m and y-intercept b
Solving for b gives ...
b = y -mx . . . . . . . subtract mx from both sides.
The values of x and y come from the point we want the line to pass through. The value of m will be the same for the parallel line as for the given line: 4. For the perpendicular line, it will be the opposite reciprocal of this: -1/4.
<u>Parallel line</u>
b = 6 -4(3) = 6 -12 = -6
y = 4x -6
Perpendicular line
b = 6 -(-1/4)(3) = 6 +3/4 = 27/4
y = -1/4x +27/4
