What is the slope-intercept form of the equation with a slope of #4/3# and which goes through the point #(-2, -0)#?

Answer 1

See a solution process below:

We can use the point-slope formula to find the equation for this slope and point. The slope-intercept form of a linear equation is: #y = color(red)(m)x + color(blue)(b)#
Where #color(red)(m)# is the slope and #color(blue)(b)# is the y-intercept value.
First we can substitute the slope for #color(red)(m)# giving:
#y = color(red)(4/3)x + color(blue)(b)#
Next, we can substitute the values from the point in the problem and solve for #color(blue)(b)#:
#0 = (color(red)(4/3) xx -2) + color(blue)(b)#
#0 = -8/3 + color(blue)(b)#
#color(red)(8/3) + 0 = color(red)(8/3) - 8/3 + color(blue)(b)#
#8/3 = 0 + color(blue)(b)#
#8/3 = color(blue)(b)#
We can substitute #8/3# for #color(blue)(b)# and the slope from the problem to write the equation:
#y = color(red)(4/3)x + color(blue)(8/3)#
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 2

The slope-intercept form of the equation with a slope of ( \frac{4}{3} ) and passing through the point (-2, -0) is ( y = \frac{4}{3}x + \frac{8}{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 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