Q:

What is the equation to the given line in the point-slope form?A. y = -x + 1 B. y + x = 1 C. y + x + 1 = 0 D. 4y = 3x + 1 E. y - 4 = 1(x-3)

Accepted Solution

A:
Answer:E. y-4 = 1(x-3)Step-by-step explanation:The general form of the equation of a line is:[tex](y-y_{0}) = m(x-x_{0})[/tex]Where [tex]m = \frac{y_{1}-y_{0} }{x_{1}-x_{0}}[/tex]To find the equation of the line we need two points. From the graph we get that those two points are: [tex]p_{1}= (0,1) Β , p_{0}= (3,4)[/tex]Then, we calculate m:[tex]m = \frac{1-4 }{0-3}=1[/tex]Then, the equation of the line is:[tex](y-4) = 1(x-3)[/tex]