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ankoles [38]
3 years ago
15

Slope=4/3 y-intercept=-5

Mathematics
2 answers:
Flura [38]3 years ago
4 0

Answer:

The equation of the line in point-slope form is:

y+5=\:\frac{4}{3}\left(x-0\right)

The graph is also attached below.

Step-by-step explanation:

Given

  • Slope m = 4/3
  • y-intercept = -5

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

As we are given the y-intercept = -5

Thus, the point (0, -5) represents the y-intercept.

Point slope form:

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

In our case,

  • m = 4/3
  • (x₁, y₁) = (0, -5)

substituting m = 4/3 and the point (0, -5) in the point-slope form

y-y_1=m\left(x-x_1\right)

y\:-\:\left(-5\right)\:=\:\frac{4}{3}\:\left(x\:-\:0\right)

y+5=\:\frac{4}{3}\left(x-0\right)

Therefore, the equation of the line in point-slope form is:

y+5=\:\frac{4}{3}\left(x-0\right)

The graph is also attached below.  

MrRissso [65]3 years ago
3 0

Answer: 4/3 - 5

I assume you want to know the numbers in slope intercept form so... yeah

Step-by-step explanation

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