Write the equation of a line in slope intercept form that is parallel to the given line and passes through the given point. y = 2x + 3 (1, 7) a) y = 2x + 9 b) y = 2x + 5 c) y = (1/2)x + 6.5 d) y = -(1/2)x + 7.5

Hey there!

Because the line is going to be parallel, we are going to have the same slope as the given line. The slope will be 2. This immedeately eliminates options C and D.

Now we should find the y-intercept.

If the slope is 2, then the y-value goes up 2 for every 1 that the x-value goes up. So, it goes down 2 for every 1 the x-value goes down.

We can make x go down to zero to find the y-intercerpt.

Decrease x by 1, decrease y by 2.

The y-intercept is (0,5). The value 5 is what we need to find the right equation.

Slope intercept form: y = mx + b

m = slope, b = y-intercept

Plug in the values we have found:

The answer is B: y = 2x + 5

Hope this helps!

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold

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step-by-step explanation: