Write the equation of the line that passes through the points (2, 3) and (3, -7). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Step-by-step explanation:

The point-slope formula is . When knowing the slope of a line and a point it intersects, we can write its equation with that formula. Substitute , , and for real values.

1) First, find , or the slope. Use the slope formula and substitute the x and y values of the given points. Then, solve:

Therefore, the slope of the line is -10.

2) Now, substitute the needed real values into the point-slope formula, . Since represents the slope, substitute -10 in its place. Since and represent the x and y values of a point the line crosses, choose any of the points given and substitute its values into the formula. (Either one is fine, they both equal the same thing. I chose (2,3).) This will give the following answer and equation:

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

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step-by-step explanation:

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