Question

I really need help with this question.

Answer 1

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