For #1:
y = x + 4
Parallel lines have the SAME slope, this equation is in the form of y = mx + b, where 'm' is the slope. So the slope here is 1.
To find the equation of a line that passes through (2, 2) and has a slope of 1, we can plug it into point-slope form:
y - y1 = m(x - x1)
Where 'y1' is the y-value of the point, 'x1' is the x-value of the point, and 'm' is the slope.
y - 2 = 1(x - 2)
Distribute 1 into the parenthesis:
y - 2 = x - 2
Add 2 to both sides:
y = x
So your equation is y = x.
Answer:
x ≥ 10
Step-by-step explanation:
So put a filled-in dot on 10 and an arrow going to the right
Answer:
one solution
Step-by-step explanation:
3 -2x=5-x+3+4x
Combine like terms
3-2x = 8+3x
Add 2x to each side
3-2x+2x = 8+3x+2x
3 = 8+5x
Subtract 8 from each side
3-8 =8+5x-8
-5 =5x
Divide by 5
-5/5 = 5x/5
-1 =x
There is one solution
Answer:
(4,2)
Step-by-step explanation:
The x coordinate of the midpoint is the sum of the x coordinates divided by 2
( 1+7)/2 = 8/2 = 4
The y coordinate of the midpoint is the sum of the y coordinates divided by 2
( 2+2)/2 = 4/2 = 2
The midpoint is (4,2)
