What is the point slope form of the line with slope -1/4 that passes through the point (-2,9)?

slope = -1/4

using the formula

y -y1 = m(x -x1)

y -9 = -1/4(x- (-2))

y -9 = -1/4(x +2)

cross multiply

4(y -9) = -1 ( x +2)

4y -36 = -x -2

4y = -x -2+ 36

4y = -x +34

divide the both sides by 4

y = -1/4x +34/4

y = -1/4x +17/2(equation of the line)

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)