If you wanted to make the graph of y=6x+7 less steep. Which equation would you use?
2 answers:
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The equation y = –2 x + 3 represents the graphed function.
Answer: Option A
<u>Step-by-step explanation:</u>
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
. So, the slope ‘m’ would be
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
