Answer:
Point-Slope form: The equation of line is given by:
......[1]
where m is the slope and is the point on the line.
From the given graph:
Consider two points i.e,
and (-0.5, 0)
Calculate slope:
Formula for slope is given by;
Substitute the given values we have;
Now, substitute the value of m = 2 and (0, 1) in equation [1] we have;
y-1 = 2x
Add 1 to both sides we get;
y = 2x+1
On comparing equation y = 2x+1 with the slope intercept form of a line (i.e, y = mx+b) then we have;
slope(m) = 2
y-intercept(b) = 1
therefore, the slope of the function:
m = 2
y-intercept(b) = 1
and the equation represents the graph: y = 2x+1