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!

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step-by-step explanation: