Question

graph this line:
\\( y - 5 = \frac{1}{5}(x - 5) \\)
click to select points on the graph.

Explanation:

Step1: Identify point from point-slope form

The equation $y - 5 = \frac{1}{5}(x - 5)$ is in point-slope form $y - y_1 = m(x - x_1)$, so one point is $(5, 5)$.

Step2: Find y-intercept (x=0)

Substitute $x=0$ into the equation:
$y - 5 = \frac{1}{5}(0 - 5)$
$y - 5 = -1$
$y = 4$
So a second point is $(0, 4)$.

Step3: Verify a third point (x=10)

Substitute $x=10$ into the equation:
$y - 5 = \frac{1}{5}(10 - 5)$
$y - 5 = 1$
$y = 6$
So a third point is $(10, 6)$.

Answer:

Plot the points $(0, 4)$, $(5, 5)$, and $(10, 6)$, then draw a straight line through them to graph the line.