Write a rule for m= 3/4 ; (6,4)
To find the equation of the line when given a point and the slope, you can use the point-slope form of a linear equation. The formula is:
y - y1 = m(x - x1)
Given that m = 3/4 and the point (6,4), we can substitute these values into the formula:
(y - 4) = (3/4)(x - 6)
Now, we can simplify the equation:
y - 4 = (3/4)x - (3/4)(6)
y - 4 = (3/4)x - 18/4
y - 4 = (3/4)x - 9/2
Finally, we can rearrange the equation to get it in the standard form:
(3/4)x - y = -9/2 + 4
(3/4)x - y = -9/2 + 8/2
(3/4)x - y = -1/2
Therefore, the rule for m = 3/4 and the point (6,4) is (3/4)x - y = -1/2.