Afunction f(x) is graphed. what is the slope of the function? m= 1,2,3,4 what is the y-intercept of the function? b= -2,-1,1,2 which equation represents the graph of the function y=-x+2 , y=x+2 , y=2x+1 , y=-2x+1

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

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: