Write an equation in slope intercept form for the line that is parallel to y = x - 6 and that passes through the point (-5, -6)

y = x - 1

Step-by-step explanation:

First, determine your slope from the given equation y = x - 6

In slope intercept form: y = mx + b, the value for m is the slope.

By looking at "x", there is a coefficient of 1 and therefore 1 is the slope.

Since parallel lines have the same slope, use the slope 1 to rewrite a second eqaution using

the point-slope formula: y - y1 = m(x - x1) and the given point (-5, -6)

y - y1 = m(x - x1)

y - (-6) = 1 (x - (-5))        (Plug in values)

y + 6   = 1(x + 5)            (Distribute negatives)

y + 6   = 1x  + 5             (Distribute 1 to both terms in the parentheses)

 - 6             - 6              (Subtract 6 from both sides)

   y = 1x - 1 OR y = x - 1  

Check your work by plugging in the given point to your equation:

y = x - 1

-6 = -5 - 1                   (Plug in values)

-6 = -6

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

take it another