Answer:
y= -x+5
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Let's find the value of m first.
The product of the gradients of 2 perpendicular line is -1.
Given line: y= x -10
Gradient of given line= 1
m(1)= -1
m= -1
y= -x+c
To find c, substitute a coordinate.
when y= -5, x=10,
-5= -10 +c
c= 10-5 (+10 on both sides)
c=5 (simplify)
Thus, the equation is y= -x +5.
Answer:
22-5f
Step-by-step explanation:
22 less then 5 would be 22-5 and then you have 5 times a number f so that would make it 5f so you would just attach the f to the 5. I hope this is helpful and is what you are looking for.
Answer:
She would receive $10.05 cents back
Step-by-step explanation:
Add 6.75, 1.45, and 1.75. You would get 9.95. Then, you would subtract $20.00 by $9.95, getting 10.05 as change.
Hope this helps!
Answer:
x = 1, y = 1
x = 2, y = 4
Step-by-step explanation:
substitution method:
x² = 3x - 2
x² - 3x + 2 = 0
(x - 2)(x - 1) = 0
x = 2
x = 1
Answer:
The line would be y = -1/4x + 27/4
Step-by-step explanation:
In order to find this, we first need to note that the original slope is -1/4. And since parallel lines have the same slope, we know our new line will have that same slope. Now, we can use that slope and the point in point-slope form and solve for y.
y - y1 = m(x - x1)
y - 6 = -1/4(x - 3)
y - 6 = -1/4x + 3/4
y = -1/4x + 27/4
