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matrenka [14]
3 years ago
5

I really need help with this question.

Mathematics
1 answer:
zloy xaker [14]3 years ago
3 0

Answer:

Please check the explanation.

Step-by-step explanation:

Given the points

  • (2, 17)
  • (4, 7)

Finding the slope between (2, 17), (4, 7)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(2,\:17\right),\:\left(x_2,\:y_2\right)=\left(4,\:7\right)

m=\frac{7-17}{4-2}

m=-5

We know the Point-Slope Form of the line equation is

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

Here:

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

substituting the values m = -5 and the point (2, 17) in the Point-Slope Form

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

y - 17 = -5 (x-2)

Thus, the answer Point-Slope Form is

y - 17 = -5 (x-2)

It can be further simplified to write into the Slope-Intercept Form

y - 17 = -5 (x-2)

y-17 = -5x+10

y = -5x+10+17

y = -5x+27

Thus, the answer in the Slope-Intercept Form (y=mx+b)

y = -5x+27         ∵Slope-Intercept Form → y=mx+b

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