Help pls

Step-by-step explanation:

Substituting x and y values into the equations, we can get the equation

y = 7 -3x

slope: -3

y=7-3x; m= -3; b= 7

Step-by-step explanation:

First to find the slope you use the formula m(slope)= (y2-y1)/(x2-X10

to get the values for (x1,y1) you can pick any pair of x and y values from the table and the same goes for (x2,y2). After that you plug the values into the formula for slope which gives you -3.

For example: (x1,y1) can be (0,7) and (x2,y2) can be (1,4)

m=(4-7)/(1-0)

m= -3/1

m= -3

From there finding the y value is very simple, pick any pair of x and y values for the table and plug them into the equation for slope intercept form, y=mx+b plug the x value in for x, the y value in for y, and the slope we got earlier in for m. b is the variable for the y intercept, which is what we are now trying to find. so once we have plugged in all of our values, we just simplify the equation

(0,7)

y=mx+b

7= -3(0)+b

7= b

Now that we have both our slope and y intercept we can just plug them into y=mx+b and then we have the equation of the relationship;

y=7-3x which can also be written as y= -3x+7

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)