What is the equation of a line that passes through the points (2,3) and (-6,1)

y = 1/4 x + 5/2

Step-by-step explanation:

first we need to find the slope which is difference of the y's over difference of the x's. so (3-1)/(2-(-6)). ---> 2/8 ---> 1/4. the slope is 1/4.

pick one of the coordinates and plug in the y and x, solving for the y intercept. so:

3=1/4 * 2 + a

3=1/2 + a

a = 3 - 1/2

a = 5/2

so:

y = 1/4 x + 5/2

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions