Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
Answer:
a=19
Step-by-step explanation:
The slope of the equation is - 2 as it's parallel to the given line. Using two point slope form, (13-(-11))/(7-a)=-2. 24=-2(7-a), - 12=7-a, a=19
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 8 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes
Calculate the slope between the 2 given points and equate to 2
Using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (a, - 11) and (x₂, y₂ ) = (7, 13)
m = [tex]\frac{13-(-11)}{7-a}[/tex] = [tex]\frac{13+11}{7-a}[/tex] = [tex]\frac{24}{7-a}[/tex] , then
[tex]\frac{24}{7-a}[/tex] = 2 ( multiply both sides by 7 - a )
2(7 - a) = 24 ( divide both sides by 2 )
7 - a = 12 ( subtract 7 from both sides )
- a = 5 ( multiply both sides by - 1 )
a = - 5
--------------------------------------------------
y = 2x + c ← is the partial equation
To find c substitute (7, 13) into the partial equation
13 = 14 + c ⇒ c = 13 - 14 = - 1
y = 2x - 1 ← equation of parallel line
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.