If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?

y=2x-1

Step-by-step explanation:

y-y1=m(x-x1)

y-(-1)=2(x-0)

y+1=2(x)

y+1=2x

y=2x-1

See Explanation below

Step-by-step explanation:

Topic: Gradient and Slope

To get the other points, first, we must calculate the equation of the line using the slope formula.

Given

Point (0, -1)

Slope, m = 2

The Slope of a line is calculated by

Given that a point on the line is (0, -1), then

Substitute each of these values in the formula above, we have

--- Make y the subject of formula

This equation can then be used to get the other points that lies on the slope.

Take for instance Point  

By Substitution, we have

becomes

Hence, the point   lies on the plane

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)

step-by-step explanation: