Answer:
y=3x-9
Step-by-step explanation:
Hi there!
we are given a point (4,3), and a line (y=-1/3x+4)
Perpendicular lines have slopes that are negative and reciprocal; if they are multiplied together, the result is -1
first, let's find the slope of the new line.
we can find it with this formula: (m=slope)
-1/3m=-1
multiply both sides by -3
m=3
here's our equation so far, written in y=mx+b form, where m is the slope and b is the y intercept
y=3x+b
we need to find b
Because the line passes through the point (4,3), we can use it to find b
substitute x as 4 and y as 3
3=3(4)+b
multiply
3=12+b
-9=b
substitute into the equation
<u>y=3x-9</u>
Hope this helps!
The greater root is -4.
<u>Step-by-step explanation:</u>
- The given equation is
- This a quadratic equation which can be solved using the factorizing method.
- The general form of the quadratic equation is given by
where,
- a is the coefficient of x².
- b is the coefficient of x.
- c is the constant term.
In the given equation, a = 1, b = 10, c = 24.
- Sum of the roots ⇒ b
- Product of the roots ⇒ c
To find the roots of the equation :
- Sum of the roots ⇒ 6+4 = 10 (where b = 10).
- Product of the roots ⇒ 6×4 = 24 (where c = 24).
The solution is given by (x+6)(x+4) = 0.
The roots are given by (x+6) = 0 and (x+4) = 0.
Therefore, x= -6 and x = -4 are the roots of the equation
The greater root is -4.
Answer:
Parralel lines have the exact same slope.
in the equation y=mx+b m is the slope
Both of these equations are in slope intercept form (y=mx+b) meaning that the coefficient in both equations is the slope.
Parralel lines have the same slope and perpendicular lines have the inverse opposite slope. For example if a line had a slope of 2 or 2/1 then the perpendicular line to it would have a slope of -1/2.
With that knowledge we can easily see that the lines are perpendicular since their slopes (represented by the coefficient) are the inverse opposite.
Perpendicular is your answer
Step-by-step explanation: