2 years ago

What is the slope of a line that runs parallel to y = 2 x + 5?

Mathematics

2 answers:

blsea [12.9K]2 years ago

8 0

Parallel lines have equal gradients;
So,
y=2x+5
The gradient is 2
The parallel line also has a gradient of 2

Ganezh [65]2 years ago

7 0

The equation "y=mx+b" is the slope-intercept forme of a line with slope "m" and y-interceptept (0,b)

In this case:
y=2x+5;
the slope "m" will be equato to : "2".

Answer: the slope is 2.

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A. Use substitution and show work

Alja [10]

A) 2x -3(3x -7) = 7 . . . . substitute for y
.. -7x = -14 . . . . . . . . . . . subtract 21
.. x = 2 . . . . . . . . . . . . . divide by -7
.. y = 3*2 -7 = -1 . . . . . . substitute for x
(x, y) = (2, -1)

B) 5(5x -2y) -2(3x -5y) = 5(8) -2(1) . . . . subtract 2 times 2nd equation from 5 times 1st
.. 19x = 38 . . . . simplify
.. x = 2 . . . . . . . divide by 19
.. y = (5x -8)/2 = 1 . . . . solve 1st equation for y, substitute x
(x, y) = (2, 1)

C) See the first graph.
(x, y) = (-4, 1)

D) See the second graph.
(x, y) = (3, 2)