the table represents a linear equation. which equation shows how (-10, 8) can be used to write the equation…

the table represents a linear equation. which equation shows how (-10, 8) can be used to write the equation of this line in point - slope form?\n|x|y|\n|-10|8|\n|-5|7|\n|10|4|\n|15|3|\n○ y - 8=-0.15(x - 10)\n○ y + 8=-0.15(x - 10)\n○ y - 8=-0.2(x + 10)\n○ y + 8=-0.2(x - 10)

the table represents a linear equation. which equation shows how (-10, 8) can be used to write the equation of this line in point - slope form?\n|x|y|\n|-10|8|\n|-5|7|\n|10|4|\n|15|3|\n○ y - 8=-0.15(x - 10)\n○ y + 8=-0.15(x - 10)\n○ y - 8=-0.2(x + 10)\n○ y + 8=-0.2(x - 10)

Answer

Answer:

C. $y - 8=-0.2(x + 10)$

Explanation:

Step1: Calculate the slope $m$.

$m=\frac{y_2 - y_1}{x_2 - x_1}$, using points $(- 5,7)$ and $(-10,8)$. So $m=\frac{7 - 8}{-5-(-10)}=\frac{-1}{5}=-0.2$.

Step2: Recall the point - slope form.

The point - slope form is $y - y_1=m(x - x_1)$, where $(x_1,y_1)=(-10,8)$ and $m=-0.2$.

Step3: Substitute values into the formula.

Substituting gives $y - 8=-0.2(x-(-10))$, which simplifies to $y - 8=-0.2(x + 10)$.