can you please help me this

Question

 Use the table to fill in each blanks.

m: _ b: _ Proportional? _

9) Use the table to fill in each blanks.

m: 4/3Incorrect. b: 3x/4Incorrect. Proportional? YesCorrect.

Answer 1

You did good with PROPORTIONAL question. To be proportional the rate of change or slope has to be constant (straight line.) If you are ever asked to show how you know, check the slope of TWO pairs of ordered points. If the slopes are the same, then the slope is constant and the variables are proportional.

(1) Slope, m = (y₂ - y₁)/(x₂ -x₁)

Pick ANY two points...I will pick (28, 21) and (36, 27)

m = (27 - 21) / (36 -28) = 6/8 you can reduce this further to 3/4 Final Answer

(2) The best and easier way to find b (the y-intercept) is to plot the points on the graph. But you can use the POINT-SLOPE formula to get the equation of the line...

POINT-SLOPE formula, y - y₁ = m (x - x₁)

Pick ANY point...I will pick (28, 21)

y - 21 = (³/₄)(x - 28)

y - 21 = (³/₄)x - (³/₄)(28)

y - 21 = (³/₄)x - 21 ...............(³/₄)(28) = the 4 will go into the 28, 7 times then you're left with 3x7 = 21

y = (³/₄)x - 21 + 21

y=(³/₄)x

Remember the slope-intercept form of a line, y - mx + b

So in the equation above...the b term is 0 Final Answer

Hope this helps..