Answer:
slope: 5/6
point: (3, 0)
Explanation:
You want the slope and a point on the line given by 5x -6y = 15.
Slope
The slope can be found by solving for y:
5x -15 = 6y . . . . . add 6y-15
5/6x -15/6 = y . . . . . divide by 6
The coefficient of x is the slope: 5/6.
The slope of the line is 5/6.
Point
It is convenient to use one of the intercepts as a point on the line. Since 15 is not divisible by 6 (the coefficient of y), we can choose y=0 and find the x-intercept.
5x -6·0 = 15 . . . . . use y=0 in the equation
x = 15/5 = 3 . . . . . . divide by 5 to find the corresponding x
A point on the line is (x, y) = (3, 0).
<95141404393>