Answer: "
y = x + 4 " .
_________________________________________________Explanation:_________________________________________________We are given an equation in "slope intercept form" ; that is; in the form of :
"y = mx + b" ; in which "y" in isolated on the left-hand side of the equation; with "no-coefficient" (except for the "implied coefficient" of "1");
in which: "m" is the slope of the line; and the coefficient of "x"; and "b" is the "y-intercept" (or the value of the "y-coordinate" of the graph when "x = 0" ;
______________________________________________ We are given: " y =
x − 4 " ;
in which the slope; "m", is "
" .
Since we want to write the equation, in slope-intercept form, for the line PARALLEL to the given line; we known that the "line" that is "parallel" will have the same slope".
So we can write: " y =
x + b" .
Note that we are instructed to find the "parallel line" that passed through:
"(-4, 1)" ;
______________________________________________________So, in the aformentioned equation, we substitute "-4" for "x" ; and "1" for "y"; to solve for "b" ;
______________________________________ y =
x + b ;
1 =
* -4 + b ;
→ 1 = -3 + b ;
↔ b + (-3) = 1 ;
↔ b <span>− 3 = 1 ;
Add "3" to each side of the equation:
</span>
b − 3 + 3 = 1 + 3 ;
→ b = 4 .
______________________________Now, since we now that "b" is "positive 4" ; we can write the equation of the parallel line:
"
y = x + 4 " .
__________________________________________________
Answer:
Only the firsts and fourth choices ( and )
Step-by-step explanation:
Turn the equation into words:
"A number plus 9"
"Multiplied by "
"Is equals to -18"
Distribute to find the second equation:
Answer:
17+75=?
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
The y intercept is found when you substitute a zero for x. y-3=3(0+5) would find the y intercept. when you solve that you find that the y intercept is 18. The x intercept is the other way around, and when you do it, you find out that the x intercept is -6.