Answer:
Line 1: m = 2
Line 2: m = 2
The lines are parallel.
Step-by-step explanation:
First, ensure both lines are in the slope-intercept form given as y = mx + b. where m is the slope of the line.
If the slope of both lines are the same, they are parallel.
If the slope of one is the negative reciprocal of the other, they are perpendicular.
If the slope of both lines are different and one is neither the reciprocal of the other, then they are neither parallel nor perpendicular.
✍️Line 1, y = 2x + 5, is already in the slope-intercept form.
✅The slope of Line 1 is 2
✍️Line 2, y - 3 = 2(x + 15), is in point-slope.
We can decide to rewrite in the slope-intercept form or directly determine the slope as it is given. The slope is 2. But to be sure, let's rewrite as y = mx + b.
y - 3 = 2(x + 15)
y - 3 = 2x + 30
Add 3 to both sides
y = 2x + 33
✅As we can see, the slope of line 2 is 2.
✍️Line 1 and line 2 has the same slope of 2, therefore the lines are parallel.
Answer:
Yamato's here!
Step-by-step explanation:
Oh well thank you! Have a nice and great holiday!!
(^ - ^ /)Xoxo, Yamato-
Answer:
(2, 2 )
Step-by-step explanation:
To find a solution, choose any value for x, substitute into the equation and solve for y.
Choose x = 2, then
- 2 - 4y = - 10 ( add 2 to both sides )
- 4y = - 8 ( divide both sides by - 4 )
y = 2
Thus (2, 2 ) is a solution to the equation
560 / 28 = 20....so the driver travels 20 miles per gallon
on 35 gallons......35 * 20 = 700 miles <==
or u can also do it this way...
560/28 = x / 35....560 miles to 28 gal = x miles to 35 gal
cross multiply because this is a proportion
(28)(x) = (560)(35)
28x = 19600
x = 19600/28
x = 700 miles <==
so u can either do it by finding the unit rate or by making a proportion. either way will result in the same answer.
To find the value of x , bring the variable to the left side and bring all the remaining values to the right side. simplify the values to find the result.
