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Answer:

Step-by-step explanation:

(y - 3) = -2(x - 4)

y = -2x + 8 + 3

y = -2x + 11

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absor201

Answer:

The the linear equation in point-slope form is

[tex]y-3 = -2 (x-4)[/tex]

Step-by-step explanation:

Given

  • slope = m = -2
  • point (4, 3)

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

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

Here:

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

substituting the values m = -2 and the point (4, 3) in the point-slope form

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

[tex]y-3 = -2 (x-4)[/tex]

Thus, the the linear equation in point-slope form is

[tex]y-3 = -2 (x-4)[/tex]

Note: This equation could be further simplified to write it in the slope-intercept form

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

so writing the equation in the slope-intercept form

[tex]y-3 = -2 (x-4)[/tex]

[tex]y-3 = -2x+8[/tex]

[tex]y=-2x+8+3[/tex]

[tex]y=-2x+11[/tex]

Thus, the equation is the slope-intercept form is

  • [tex]y=-2x+11[/tex]

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