Find the equation of the line between the points (10, – 5) and ( - 2,0).

Answer (assuming it can be in slope-intercept form):

Step-by-step explanation:

1) First, find the slope of the line between the two points by using the slope formula, . Substitute the x and y values of the given points into the formula and solve:

Thus, the slope of the line is .

2) Next, use the point-slope formula to write the equation of the line in point-slope form. Substitute values for , , and in the formula.

Since represents the slope, substitute in its place. Since and represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.