Question

What is an equation of the line that passes through the points (6,1) and (3,3)

Answer 1

y = -⅔x + 5

Explanation:

When we graph the line, we can see that the y-intercept is 5, and the slope is -⅔.

So, we can write it in slope-intercept form. (y=mx+b, where m is the slope and b is the y-intercept) We can substitute the variables, and our given equation is y = -⅔x + 5.

Answer 2

y= -2/3x+5

Explanation:

First find the slope using the equation m= y2-y1/x2-x1

m= 3-1/3-6

m= 2/-3

m= -2/3

then find the y-intercept using the equation y=mx+b

y=mx+b

y= -2/3x+b

1= -2/3(6)+b

1= -4+b

5=b

y= -2/3x+5