Write a story problem to go with the multiplication problem 3 x 7/8. Then, solve the problem.
2 answers:
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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:
Parallel line:
Perpendicular line:
Step-by-step explanation:
we are given equation 4x+5y=19
Firstly, we will solve for y
we can change it into y=mx+b form
so,
Parallel line:
we know that slope of two parallel lines are always same
so,
Let's assume parallel line passes through (1,1)
now, we can find equation of line
we can plug values
now, we can solve for y
Perpendicular line:
we know that slope of perpendicular line is -1/m
so, we get slope as
Let's assume perpendicular line passes through (2,2)
now, we can find equation of line
we can plug values
now, we can solve for y