Find the equation of the line that is perpendicular to the line y =- 1/3 x-1 and passes through the point (1, 5)? justify how you knew what slope to use for step 1. show all work needed to complete this problem

The equation of the perpendicular line would be y = -3x + 8

Step-by-step explanation:

In order to find this line, we must first find the slope of the original line. We can do this by looking at the coefficient of x, which is 1/3

This shows us a slope of 1/3. T0 find the perpendicular slope, we use the opposite and reciprocal. This means we negate 1/3 to get -1/3 and then we flip it to get -3. Now that we have this, we can use the slope and the point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 5 = -3(x - 1)

y - 5 = -3x + 3

y = -3x + 8

The equation of the perpendicular line would be y = -3x + 8

Step-by-step explanation:

250

step-by-step explanation:

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1