7. Write a linear equation y = mx + b for the following information: m= 1, b = 4 a) y = 4x + 1
b) y = -1x + 4
c) y = x - 4
d) y = x +4

8. Write a linear equation y = mx + b for the following information: (1,-5) and (-3,7)
a) y = -3x - 2
b) y = -3 - 2
c) y = 1/3x + 3/3
d) y = 1/3x + 16/3

7. y = x + 4

8. y = -3x - 2

Step-by-step explanation:

7. m = 1 , b = 4

y = mx + b will be y = x + 4

8. (1,-5) and (-3,7)

Slope (m) = 7 - (-5) / -3 - 1

= 7 + 5 / -4

= 12 / -4

= -3

y = mx + b will be y = -3x -2

step-by-step explanation:

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)