When written in the form, the slope of a line is given by the coefficient . Moreover, two lines are parallel if the have the same slope.
Now, the slope of the known line is 4, so our line's slope will be four as well.
In general, when you know the slope of a line and one of its points , the equation of the line can be derived from the following formula:
Which in your case becomes
Expand the right hand side and solve for y:
Answer: The constant is -4 cause it will never change from x or y value.
Step-by-step explanation:
Let's get the same terms on the same side.
I am going to remove 5x from both sides of the equation by subtracting 5x
5x - 5x<span> -7 = 7x -</span>5x<span> - 17</span>
-7 = 2x - 17 now lets remove the 17 from both sides
-7 + 17 = 2x (why do we add 17? Think of 2x -17 as 2x + -17. Tor remove a negative number we add it.
Now we finally have 10=2x and if we divide both sides by 2
<u>10</u><span> = </span><u>2x</u><u>
</u>2 2 we get that x = 5
<u />Let's check by substituting 5 in the original equation:
5(5) - 7 = 7(5) - 17
25 - 7 = 35 - 17
<span>18 = 18</span>
Answer:
5
Step-by-step explanation:
Hope this helps! :)