The constant of proportionality is basically just the slope, so the answer is 1/6.
Step-by-step explanation:
Count how many Y units it goes up to get the the black point from (0,0) (the origin). You go up 1 unit to go 6 units to the right meaning the slope is 1/6.
That is the rise over run technique and there are many others, such as point slope form, and y2-y1 over x2-x1.
1) First, place the given equation in slope-intercept form ( format) to find its slope easier. Isolate the y:
So, the equation of the line in slope-intercept form is . When an equation is in slope-intercept form, the , or the coefficient of the x-term, represents the slope. Thus, the slope for the given line would be -1.
2) Lines that are perpendicular have slopes that are opposite reciprocals of each other. We need to find the opposite reciprocal of -1, then.
To find the opposite reciprocal of a number, write the given number as a fraction first -- making -1 be written as -- then switch the sign and flip the numerator and denominator. So, the opposite reciprocal of -1 is 1, and 1 is the slope of the perpendicular line.