What is the equation of the line in standard form that passes through the point (–2, –3) and is parallel to the line y = x + 9?
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Well, we know the equation for a line is \(y=mx+b\) Where \(m\) is its slope and \(b\) is the y-intercept. We also know that if Line A has a slope of \(m_1\) and Line B has a slope of \(m_2\), and Line A is parallel to Line B, then \(m_1=m_2\). So we can develop some things from here.
One thing is that we know the mentioned line, has a formula of \(y=x+9\); from that, we can deduce that it has a slope of \(1\) and therefore, our line must also have a slope of \(1\) since they are parallel
So the formula for our line is:
We can sub in a point we know:
And solve for \(b\)
So the formula would be
A. x – y = 1
B. x + y = 1
C. x – y = –5
D. x + y = –5
are my answers to choose from
Not the answer you are looking for? Search for more explanations.
First, find the slope of the equation of \[y = x + 9\] by using your slope-intercep form: \[y = mx + b\]. In this case, m = 1. Using the point slope formula \[(y-y1) = m(x-x1)\] Use this formula to plug in the numbers that have been provided. Points (-2,-3) and m = 1. Then solve for y.
Oh okay well,
So the equation is A