A line contains the point (4, 2) and has a slope of −3.
What is the equation of the line in slope-intercept form?
Enter your answer by filling in the boxes and explain.

y = ? x + ?

the equation is y = - 3x + 14

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

c represents the y intercept

m represents the slope of the straight line.

The slope of the given line is - 3 and it contains the point (4, 2)

To determine the y intercept, we would substitute m = - 3, x = 4 and

y = 2 into y = mx + c. It becomes

2 = - 3 × 4 + c

2 = - 12 + c

c = 12 + 2

c = 14

The equation becomes

y = - 3x + 14

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is: