what is (9,7) with a slope of 3 be in point-slope form?
(9 , 7), (x , y), m = 3.
m = (y - 7) / (x - 9) = 3,
Cross multiply:
(y - 7) = 3 (x - 9).
Y= 7 7=3(9)+b
m=3 7=27+b
x=9 27 27
b=-20 -20=b
y=3x-20
To find the point-slope form of the equation of a line with a given slope and a point on the line, you can use the following formula:
y - y1 = m(x - x1)
Here, (x1, y1) represents the given point, and m represents the slope of the line.
In this case, the given slope is 3, and the point on the line is (9, 7).
Substituting these values into the formula, we get:
y - 7 = 3(x - 9)
Now, we can simplify the equation:
y - 7 = 3x - 27
If we want to write it in a more standard form, we can move the variables to the left side of the equation:
3x - y = 20
So, the point-slope form of the equation of the line with a slope of 3 and passing through (9, 7) is y - 7 = 3(x - 9), or in standard form, 3x - y = 20.