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Answer :
the equation that represents the graphed function isy = -2x +
A coordinae plane with a line drawn passing through the points (0, 3) and (1,1) is given below:
Coordinate plane imageWe know that the equation of a line in slope-intercept form is given byy = mx + cwhere m is the slope of the line and c is the y-intercept of the line.
Now, let's find the slope of the line passing through the points (0, 3) and (1, 1).slope of a line = (y2 - y1) / (x2 - x1)Where, (x1, y1) = (0, 3) and (x2, y2) = (1, 1)slope of the line = (1 - 3) / (1 - 0) = -2
Thus, the slope of the line is -2.Since the y-intercept of the line is 3, we can write the equation of the line asy = -2x + 3So, the equation that represents the graphed function isy = -2x +
The slope-intercept form of the equation of the line is y = mx + c, where m is the slope and c is the y-intercept of the line.
Now, the slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula (y2 - y1) / (x2 - x1).
Using the given points, we can calculate the slope of the line as follows:Slope = (y2 - y1) / (x2 - x1) = (1 - 3) / (1 - 0) = -2So, the slope of the line is -2.We also know that the y-intercept of the line is 3.
Hence, the equation of the line can be written asy = -2x + 3Therefore, the equation that represents the graphed function is y = -2x + 3.
Therefore, the correct equation that represents the graphed function is y = -2x + 3.
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