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|\no y - 8=-0.15(x - 10)\no y + 8=-0.15(x - 10)\no y - 8=-0.2(x + 10)\no 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|\no y - 8=-0.15(x - 10)\no y + 8=-0.15(x - 10)\no y - 8=-0.2(x + 10)\no y + 8=-0.2(x - 10)

Answer

Answer:

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

Explanation:

Step1: Calculate the slope $m$.

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(-10,8)$ and $(x_2,y_2)=(-5,7)$. Then $m=\frac{7 - 8}{-5-(-10)}=\frac{-1}{5}=-0.2$.

Step2: Recall the point - slope form.

The point - slope form of a line is $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope. Given the point $(-10,8)$ and $m=-0.2$, substituting into the formula gives $y - 8=-0.2(x-(-10))$, which simplifies to $y - 8=-0.2(x + 10)$.