Answer: y = -2x+6
slope = -2
y intercept = 6
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Explanation:
Let's find the slope
m = (y2-y1)/(x2-x1)
m = (2-4)/(2-1)
m = -2/1
m = -2
The slope is -2
Let's use this slope along with the first point to get the y intercept
y = mx+b
y = -2x+b ... plug in the slope we found earlier
4 = -2*1+b ... plug in the coordinates of the point (1,4)
4 = -2+b
4+2 = -2+b+2 .... adding 2 to both sides
6 = b
b = 6
The y intercept is 6
The equation y = mx+b turns into y = -2x+6 since m = -2 is the slope and b = 6 is the y intercept.
