Write the equation of the line in slope-intercept form: the line through (-5, 1)(2, -1).

See below in bold.

Step-by-step explanation:

The slope of the line (m)  = rise / run

= (1 - -1) / (-5 - 2)

= -2/7

Using the point-slope form:

y - y1 = m(x - x1)

y - -1 = -2/7 (x - 2)

y + 1 = -2/7x + 4/7

y = -2/7x - 3/7  is slope intercept form.

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)

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step-by-step explanation:

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