What is the slope of a line that is perpendicular to the line whose equation is y=4x+1?

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = y intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

From the information given,

comparing the equation given,

y=4x+1 with the slope intercept equation, y = mx + c

Slope, m = 4

When two slopes are perpendicular, their product is -1

Let the slope of the perpendicular line to the one given by the above equation be m1. Therefore,

m × m1 = -1

4 m1 = -1

m1 = -1/4

Inputting m1 = 4 into the slope intercept equation, it becomes

y = -1/4×x + c

y = -x/4 + c

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'.