All categories

2 years ago

Find the equation of a line parallel to −5x+y=2 that contains the point (5,−2). Write the equation in slope-intercept form.

Mathematics

1 answer:

mario62 [17]2 years ago

5 0

Answer:

L2: y-0 = 5/2(x-5)

y = 5/2x-25/2

Step-by-step explanation:

Parallel lines have same slopes.

Line 1, L1: 5x-2y=20 is in standard form Ax+By=C therefore slope m1= -A/B = -5/-2 = 5/2 or you can solve it for y so you will have the equation in slope-intercept form.

5x-2y = 20

-2y = -5x+20

y = (-5/-2)x+20/(-2)

y = (5/2)x-10 hence m1=5/2 and y-intercept is -10

Line 2 , L2: y-y1 = m (x-x1), m=m2=m1=5/2

Point p(5,0) or p(x1,y1) therefore x1=5 , y1=0 and m=5/2

L2: y-0 = 5/2(x-5)

y = 5/2x-25/2

You might be interested in

Please help me!!!!with this!!!

kodGreya [7K]

5x+9-3x=11

5x-3x=11-9

2x=2

2:2

x=1

8 0

3 years ago

Solve x2 + 7x + x2 + 7x + 9 = 3

algol13

Answer:

x2 + 7x + x2 + 7x + 9 = 3

6 0

3 years ago

Paul rides his bike for 2 hours at a constant rate of 20 mph. He then bikes for 3 hours at a constant rate of 25 mph. How far di

Schach [20]

In 5 hours Paul travelled 115 miles

4 0

3 years ago

What does x equal in the equation 3x=x+24

erastovalidia [21]

3x = x + 24

3x - x = 24

2x = 24

x = 24 : 2

x = 12

8 0

3 years ago

Read 2 more answers

Al saves pennies. He agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl

ser-zykov [4K]

Answer:

2744 pennies.

Step-by-step explanation:

Let x represent the number of pennies Al have initially.

We have been given that Al agreed to give 3/7 of his pennies to Bev, so number of pennies Bev will get would be $\frac{3}{7}x$ .

We are also told that Bev gave 3/7 of what she got from Al to Carl, so number of pennies that Carl will get would be $\frac{3}{7}x\cdot \frac{3}{7}=\frac{9}{49}x$ .

Further, Carl gave 3/7 of what he got from Bev to Dani, so number of pennies that Dani will get would be $\frac{9}{49}x\cdot \frac{3}{7}=\frac{27}{343}x$ .