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
Answer:
the number of lemons required is 6
Step-by-step explanation:
The computation of the number of lemons she required to make the 4 times the receipe is shown below;
Given that
She used three fourth of lemons for make one half liters of lemonade
Now for four times she required the lemons
= (3 ÷ 4) × 2 × 4
= 6
Hence, the number of lemons required is 6
Answer: d = 10
Step-by-step explanation:
Step-by-step explanation:
The formula for calculating distance between two points is given by :
d = 
= -3
= 5
= 11
= 5
substituting the values , we have
d = 
d = 
d = 
d = 
d = 
d = 10
Answer:
The equation in standard form is: 3b^2 + 2b - 8.