Question

write the equation of the line in point - slope form. see examples 2 and 3 19. 20.

Explanation:

Step1: Recall 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.

Step2: Calculate slope for problem 19

Let's assume another point on the line in problem 19 is $(6,0)$. The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0 - 4}{6 - 2}=\frac{-4}{4}=- 1$. Using the point $(2,4)$ and $m=-1$, the point - slope form is $y - 4=-1(x - 2)$.

Step3: Calculate slope for problem 20

Let's assume another point on the line in problem 20 is $(0,-2)$. The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{-2+3}{0 - 1}=\frac{1}{-1}=-1$. Using the point $(1,-3)$ and $m = - 1$, the point - slope form is $y+3=-1(x - 1)$.

Answer:

1. $y - 4=-1(x - 2)$
2. $y+3=-1(x - 1)$