Write an equation if the line that passes through (0,-2) and (2,2)

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

where the two points are and

Plug in the given points (0,-2) and (2,2)

Therefore, the slope of the line is 2. Plug this into as m:

2) Determine the y-intercept (b)

Plug in one of the given points and solve for b

Subtract 4 from both sides to isolate b

Therefore, the y-intercept of the line is -2. Plug this back into

I hope this helps!

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

hi there!

question 1 answer: p/q can be terminating when q = 5^m * 2^n

question 2 answer: -1 and -1

question 3 answer: -4

question 4 answer: 5/12

hope this : )