2 Answers

Tom Dorone · Answer 1 · 2021-08-11T08:55:50+0000

The equation y = –2 x + 3 represents the graphed function.

Answer: Option A

Explanation:

As per the mapping points in the attached figure, A (0, 3) and B (1, 1)

Step 1: Find the slope of the line.

We know that the formula to calculate the slope between two points is equal to

m=(y_(2)-y_(1))/(x_(2)-x_(1))

$\left(x_(1), y_(1)\right)=(0,3) \text { and }\left(x_(2), y_(2)\right)=(1,1)$ . So, the slope ‘m’ would be

m=(1-3)/(1-0)=-2

Step 2: Find the y-intercept

We know that the y-intercept is the value of y when the value of x is equal to zero. In this problem the y-intercept is the point A (0, 3)

Step 3: Find the equation of the line into slope-intercept form

We know that the equation of the line into slope-intercept form is equal to

y = m x + b

We have m = - 2 and b = 3 as b is equal to the y-coordinate of the y-intercept. Substitute these, we get

y = - 2 x + 3

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