Aline passes through (2,-1) and (4,5)
which answer is the equation of the line.
a: -3x+5y=-13
b: -3x+y=-7
c: -3x+5y=13
d: -3x+y=17

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (2,-1) and (4,5),

y2 = 5

y1 = - 1

x2 = 4

x1 = 2

Slope,m = (5 - - 1)/(4 - 2) = 6/2 = 3

To determine the intercept, we would substitute x = 4, y = 5 and m= 3 into y = mx + c. It becomes

5 = 3 × 4 + c

c = 5 - 12 = - 7

The equation becomes

y = 3x - 7

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.

x= 3^y

step-by-step explanation: