y = - 
x + 3
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 6, 6 ) and (x₂, y₂ ) = (- 2, 4 )
m = 
= 
= -
y = - x + c is the partial equation
to find c substitute either of the 2 points into the partial equation
using (- 2, 4 ), then
4 = 1 + c ⇒ c = 4 - 1 = 3
y = - x + 3 ← in slope-intercept form
When two lines are <em><u>parallel, that means they have the same slope! </u></em>
The slope is the coefficient of x
In the equation y = 3x, <u>the slope is 3 </u>
An example of a line that is above y = 3x is ...
y = 3x + 2
The "+2" <em>shifts the line up </em>by 2 on the y axis
An examples of a line that is below y = 3x is ...
y = 3x - 3
The "-3" <em>shifts the line down</em> by 3 on the y axis
-6(x+4) = _____
- 6x - 4❌
- -6x + 4❌
- -6x - 24✔️
- 6x + 24❌
-6(x+4) = <u>-6x - 24</u>
<h3>Hope It's helped! :)</h3>
Answer:
This is so easy
Let me explain:
first lets find out (f+g)(x)=-x+3x+5+x^2+2x=
x^2+4x+5 this is the equation of a parabola because we have x^2
so only the first graph shows us a parabola
which remains the right one.
like terms include terms that you can add/sub/mult/div - certain terms..
for example 23 and 7 are like terms, 4x and 56x are like terms....
here-> 12 and 3 are like terms so you can put them together:
12 + 3 - 4x
then you can simplify it:
15 - 4x is your answer (most simplified)
