Question

The slope of the line below is 1.write the point-slope equation for the line using the coordinates of the labeled point.

Answer 1

Answer:

$y-4=(x-11)$ or $y=(x-11)+4$

Step-by-step explanation:

We know that the slope of the line is 1, so we can write it in terms of any two points belonging to the line, as per the difinition of slope:

$slope=\frac{y_1-y_0}{x_1-x_0} \\1=\frac{y_1-y_0}{x_1-x_0}$

We can use instead of $(x_1,y_1)$ any general point (x,y) on the line, and for $(x_0,y_0)$ the point we are interested in: (11,4)

That way the slope can be written as:

$1=\frac{y-4}{x-11}$

Next we can solve for y if this format is the one your instructor prefers:

$1=\frac{y-4}{x-11}\\1(x-11)=(y-4)\\(x-11)+4 =y$