Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0) - Parallel lines always have the same slope
<u>1) Determine the slope of line S using line R (m)</u>
We can identify clearly that the slope of the line is 
, as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be . Plug this into :
<u>2) Determine the y-intercept of line S (b)</u>
Plug in the given point (-4,3) and solve for b
Subtract 1 from both sides to isolate b
Therefore, the y-intercept is 2. Plug this back into :
I hope this helps!
For number one
S: supplement.
R: angle1+angle8 =18
#2
S: supplement
R: angle 3+ angle 6=180
The equation of the line is 
<u>Step-by-step explanation:</u>
- The line passes through the point (2,-4).
- The line has the slope of 3/5.
To find the equation of the line passing through a point and given its slope, the slope-intercept form is used to find its equation.
<u>The equation of the line when a point and slope is given :</u>
⇒ 
where,
- m is the slope of the line.
- (x1,y1) is the point (2.-4) in which the line passes through.
Therefore, the equation of the line can be framed by,
⇒ 
⇒ 
Take the denominator 5 to the left side of the equation.
⇒ 
Now, multiply the number outside the bracket to each term inside the bracket.
⇒ 
⇒ 
Divide by 5 on both sides of the equation,
⇒
Therefore, the equation of the line is
Answer:
a=2
Step-by-step explanation:
In order to get 0, you have to multiple 3 with 0, so that means that 2a-4 has to equal 0.
Answer:
The sample space S for a probability model is the set of all possible outcomes.
