# Algebra 1

posted by .

Write a equation of the line containing the given point and paralled to the given line (-5,8);3x=5y+2

• Algebra 1 -

5y = 3 x - 2
y = (3/5) x - 2/5
so slope = 3/5

8 = (3/5)(-5) + b
8 = -3 +b
b = 11
so
y = 3 x/5 + 11
or
5 y = 3x + 55

• Algebra 1 -

Parallel to 3x = 5y + 2
through P(-5,8)

Parallel lines have equal slopes
First, you need to put the given line in slope-intercept form, to find the slope.

Slope-intercept form,
y = mx + b
m = slope
b = y-intercept

3x = 5y + 2
To put in slope-intercept form, solve for y.
3x = 5y + 2
5y = 3x - 2
y = 3/5 x - 2/5

So now you know that the slope m = 3/5.
y = 3/5 x - 2/5
y = mx + b

Since parallel lines have the same slope, 3/5 will be the slope of your line through (-5,8)

y = mx + b
y = 3/5 x + b

Now you need to use the point (-5.8)
Since x = -5 and y = 8, put those value in your equation.
y = 3/5 x + b
8 = 3/5 (-5) + b

All that's left is too solve for the b value.
8 = 3/5 (-5) + b
8 = -15/5 + b
8 = -3 + b
b = 11

Now you have all you need for your parallel line
y = mx + b
slope m = 3/5
b = 11

y = 3/5 x + 11

Do you follow what I've done?
Good luck

• Algebra 1 -

Thank you very much for your quick answer and for your time. However, I am still confused about how to get the top number on the left. For instance, the 11, or 55. What do you multiply, add, or divide?

Can you please use this one to show me step by step how you work out this problem? (-8,6);2x=3y+4 I can get the first part, however, I can't figure how to work the last part of the problem. I really do appreciate your help, thank you.

## Similar Questions

1. ### algebra

Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form Y= mx+b (6,8); x+6y=5 The equation of the line is Y= I do not how work this problem help me, please
2. ### MATH

I had an assignment containing 45 problems, and I am unsure of 4, can you check and see if the answers are correct?
3. ### Math

I had an assignment containing 45 problems, and I am unsure of 4, can you check and see if the answers are correct?
4. ### Math

I had an assignment containing 45 problems, and I am unsure of 4, can you check and see if the answers are correct?
5. ### Algebra

graph the equation x-3=y (where do I plot the points?
6. ### Algebra

Write an equation of the line containing the given point and paralled to the given line. Express your answer in the form y-mx+b (4,7); x+ 3y=8. The equation of the line is y=?
7. ### Algebra 1

Write an equation of the line containing the given point paralled to the given line (-8,6);2x=3y+4 Thank you
8. ### Math 116

1.Write an equation of the line containing the given points and parallel to the given line (3,8); x+5y=3 2. Write an equation of the line containing the given points and parallel to the given line (-3,6); 5x=9y+2 3. Write an equation …
9. ### Math 116

1.Write an equation of the line containing the given points and parallel to the given line (3,8); x+5y=3 2. Write an equation of the line containing the given points and parallel to the given line (-3,6); 5x=9y+2 3. Write an equation …
10. ### Intermediate Algebra

Write an equation of the line containing the given point and perpendicular to the given line. (0,4);5x+9y=4 The equation of the line is y=__?

More Similar Questions