Question

Which linear function represents the line given by the point-slope equation y - 8 = % (x - 4)?

Answer 1

Answer:

option 2

Step-by-step explanation:

$y - 8 = \frac{1}{2} (x - 4)\\\\y = \frac{1}{2}x - 2 + 8\\\\y = \frac{1}{2}x + 6$

Answer 2

Kenny recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-x-4  = 0 and calculate its properties

hope this helps!