Write the point-slope form of the equation for a line that passes through (–1, 4) with a slope of 2.

the value of x1 is .

the value of y1 is .

the point-slope form of the equation is .

y-4 = 2(x+1) is point-slope form of the equation for line that passes through (-1,4) with slope 2.

Step-by-step explanation:

We have given that

Let (x₁,y₁) = (-1,4) and slope= m = 2

We have to find the point-slope form of the equation for a line that passes through (-1,4) with slope  equal to 2.

y-y₁ = m(x-x₁) is point -slope form of the equation of line that passes through (x₁,y₁) with slope m.

The value of x₁ is -1 and the value of y₁ is 4.

Putting values in given formula, we have

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

y-4 = 2(x+1) is point-slope form of the equation for line that passes through (-1,4) with slope 2.

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a

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)