Use the given conditions to write an equation for the line in point-slope form a

Marvin Mccormick 2021-09-26 Answered

Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form.
Passing through \((-2,-8)\) and parallel to the line whose equation is \(y=-3x+4\)
Write an equation for the line in point-slope form and slope-intercept form.

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Yusuf Keller
Answered 2021-09-27 Author has 25296 answers

Step 1
To find the equation of a line which is parallel to the line whose equation is \(y=-3x+4\). Since we know that the parallel lines have the same slope so the value of the slope of the required line is -3 that is
\(m=-3\)
Also the given point is
\(\displaystyle{\left({x}_{{{1}}},{y}_{{{1}}}\right)}={\left(-{2},-{8}\right)}\)
Step 2
Using the formula of the equation of the line in
Slope intercept form
y=mx+c
point slope form
\(\displaystyle{\left({y}-{y}_{{{1}}}\right)}={m}{\left({x}-{x}_{{{1}}}\right)}\)
Step 3
The equation of the line in slope-intercept form is given by
\(y=-3x+c\)
Since line is passing through \((-2,-8)\) so
\(-8=-3(-2)+c\)
\(-8=6+c\)
\(\displaystyle\Rightarrow{c}=-{14}\)
So equation becomes
\(y=-3x-14\)
Step 4
Also, the equation of the line in point-slope form is given by
\((y-(-8))=-3(x-(-2))\)
\(y+8=-3(x+2)\)

Not exactly what you’re looking for?
Ask My Question
19
 

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-06-02
Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form.
Passing through (3,-1) and perpendicular to the line whose equation is x-9y-5=0
Write an equation for the line in point-slope form and slope-intercept form.
asked 2021-05-27

Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form.
Passing through (-2,-8) and parallel to the line whose equation is \(y=-3x+4\)
Write an equation for the line in point-slope form and slope-intercept form.

asked 2021-09-25
Write the​ point-slope form of the line satisfying the given conditions. Then use the​ point-slope form of the equation to write the​ slope-intercept form of the equation. Slope​=6, passing through ​(-5​,4​)
asked 2021-05-14
For the equation (-1,2), \(y= \frac{1}{2}x - 3\), write an equation in slope intercept form for the line that passes through the given point and is parallel to the graph of the given equation.
asked 2021-11-14
Write an equation of the line with the given slope and containing the given point. Write the equation in the form y = mx + b.
asked 2021-09-21
Equation in slope intercept form. line f has an equation of y=-9/10x-7 line g includes the point (-3,-5)and is perpendicular to line f. What is the equation of line g?
asked 2021-09-20
Find an equation of the line described below. Write the equation in​ slope-intercept form​ (solved for​ y), when possible.
Through
​(8​,4​) and (4​,8​)
What is the equation of the​ line?
...