How do you find the slope and intercept of #3x+7=0#?

Answer 1

#"see explanation"#

#"subtract 7 from both sides and divide by 3 gives"#
#x=-7/3#
#"this is the equation of a vertical line parallel to the y-axis"# #"passing through all points with an x-coordinate of "-7/3#
#"the slope is therefore undefined"#
#"the x-intercept "=-7/3" there is no y-intercept"# graph{(y-1000x-2333)=0 [-10, 10, -5, 5]}
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

The slope is 3 and the intercept is 7.

First off the equation should read #3x + 7 = y# just easier to make sense of.

The following formula contains the values you are looking for:

The slope is a ratio of how much #y# increases based on how much #x# increases, it's usually calculated based on the "rise over run" it looks like this:
#"rise (increase in y)"/"run (increase in x)"#
In the case of this formula, #y# increases 3 units for every unit #x# increase. I'll put a graph in and you can pick any 2 points on the line and find the amount #x# and #y# increases (say #y=0;x=5# and #y=15;x=10# then in amount y increases is 15 units while x increases by 5) then the slope is calculated like this:
#15/5=3# This gives you the 3 in the equation #color(red)(3)x+7=y#
The intercept is the value of #y# when #x# equals 0. If you substitute #x=0# into the equation you can see that the only thing left to that gives a value is 7.
#cancel(3(0))+7=y -> y=7# When #x=0# So 7 is your intercept.

graph{3x+7 [-2.06, 12.18, 16.17, 12.3]}

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 3

To find the slope and intercept of the equation (3x + 7 = 0), first, rewrite it in slope-intercept form (y = mx + b), where (m) is the slope and (b) is the y-intercept. Then, solve for (m) and (b).

Given equation: (3x + 7 = 0)
Rewrite it as: (y = 3x + 7)
Comparing with (y = mx + b),
(m = 3) (slope)
(b = 7) (y-intercept)

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7