What are the slope and the y-intercept of the linear function that is represented by the graph?

slope m = 2/3

y-intercept = -2

Step-by-step explanation:

slope m = 2/3

y-intercept = -2

** you can tell the slope is 2/3 which is also read as rise over run. From the y-intercept of -2 you would have to rise 2 up then run 3 over to get to another point on the line (0, 3).

Equation of line:

  y = mx + b

  y = 2/3x - 2

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

y=x+9

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step-by-step explanation: