Respuesta :

absor201

Answer:

Converting y = -2x +5 to point-slope form will be:

  • [tex]y - 5 = -2(x-0)[/tex]

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the equation

[tex]y = -2x +5[/tex]

comparing with the  slope-intercept form

Slope of the line = m = -2

The y-intercept b = 5

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

Thus, the ordered pair or point representing the y-intercept will be:

  • (0, 5)

Now, we have

  • The slope = m = -2
  • The point = (0, 5)

Now, using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

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

substituting the values m = -2 and the point (x₁, y₁) = (0, 5)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 5 = -2(x-0)[/tex]

Therefore, converting y = -2x +5 to point-slope form will be:

  • [tex]y - 5 = -2(x-0)[/tex]

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