The coordinates of the points A and B are (0,-2) and (3,0), what is the y intercept of the line AB

-2

Step-by-step explanation:

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). To solve this question, first, find the slope, then, plug one of the given points into the equation to isolate b.

1) Find the slope (m)

where the given points are and

Plug in the given points (0,-2) and (3,0)

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

2) Find the y-intercept (b)

Plug in one of the given points: (0,-2) or (3,0)

Therefore, the y-intercept of the line AB is -2.

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)