Answer :

The equation is solved for y as: y = 3x + 4.

Slope = 3

Y-intercept = 4.

How to Find the Slope and Y-intercept of a Line?

  • Slope = change in y/change in x.
  • Y-intercept is the value of y whenever the value of x equals zero.

Given the equation, -3x + y = 4, rewrite to solve for y:

y = 3x + 4

To create a table, substitute the values of x into y = 3x + 4.

For x = -1:

y = 3(-1) + 4

y = 1

For x = 0:

y = 3(0) + 4

y = 4

For x = 1:

y = 3(1) + 4

y = 7

For x = 2:

y = 3(2) + 4

y = 10

For x = 3:

y = 3(3) + 4

y = 13

The table is:

    x     |     y      

   -1          1  

   0          4

    1          7

    2         10

    3         13

The slope of y = 3x + 4 is m = 3.

The y-intercept (b) = 4.

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