Answer:
y= 3x -6
Step-by-step explanation:
The equation if a line can be written in the form of y= mx +c, where m is the slope and c is the y- intercept.
Given that the slope is 3, m= 3.
Substitute m= 3 into the equation:
y= 3x +c
To find the value of c, substitute a pair of coordinates into the equation.
Given that it has an x- intercept of -2, the line passes through the point (-2, 0). This is because x- intercept is the point at which the line passes through the x- axis, and this occurs at y= 0.
When x= -2, y= 0,
0= 3(-2) -c
0= -6 -c <em>(</em><em>expand)</em>
c= -6 <em> </em><em>(</em><em>+</em><em>c </em><em>on </em><em>both </em><em>sides)</em>
Thus, the equation of the line is y= 3x -6.
Always eliminate the first one before moving on. Remember to drop down monomials, like you would a normal division problem.
2x² + 10x + 18
__________________
x + 3 | 2x³ + 16x² - 12x + 9
-(2x³ + 6x²)
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10x² - 12x
-(10x² - 30x)
-----------------------------
+ 18x + 9
- (18x + 54)
----------------------
-45
2x² + 10x + 18 R: -45/x + 3 is your answer R: = remainder
hope this helps
