Problem #1

Is this correct or wrong?
Find the slope of the line passing through the points(-1, -1)and(-1, 2). Write the equation of the line.

For this one I KEEP GETTING

Y= - (3)/(2)x-2.5

Problem #2
Find the y-intecept and slope of

7x+9y=72

My answer:
Slope is: - (9)/(8)
y-intercept: (0,8)

The equation of a straight line is given by

(y2-y1)/(X2-x1)

In your example

Y2=2, y1=-1
x2=-1, x1=-1

substitute and find the slope

In the second part the general equation of a straight line is given by

y=mx+c where m=slope and c=intercept.

you need to compare the equation given with the general equation, but to do that they need to be in the same form

i.e y=mx+c

but 7x+9y=72 is not in this form

To get you started subtract 7x from each side:

9y=72-7x

but this is still not in the correct form so you still need to rearrange it.

Problem #1:

To find the slope of the line passing through the points (-1, -1) and (-1, 2), we can use the slope formula. The formula for the slope of a line passing through two points (x1, y1) and (x2, y2) is (y2 - y1) / (x2 - x1).

In this case, we have (x1, y1) = (-1, -1) and (x2, y2) = (-1, 2).

Now substitute the values into the slope formula:

slope = (2 - (-1)) / (-1 - (-1))

Simplifying:

slope = 3 / 0

The slope formula gives us a division by zero, which is undefined. This means that the line passing through the points (-1, -1) and (-1, 2) does not have a defined slope.

Regarding your equation, Y = - (3)/(2)x - 2.5, it seems to have a slope and y-intercept, but it does not match the coordinates you provided. It is always a good idea to double-check your calculations and ensure that you are using the correct formula.

Problem #2:

To find the y-intercept and slope of the equation 7x + 9y = 72, we need to rearrange the equation in the form y = mx + c, where m is the slope and c is the y-intercept.

Start by subtracting 7x from both sides of the equation:

9y = 72 - 7x

Next, divide both sides of the equation by 9 to isolate y:

y = (72 - 7x) / 9

Now you have the equation in the form y = mx + c. By comparing this equation with the general form, we can identify the slope and y-intercept.

The slope (m) is the coefficient of x, so in this case, the slope is -7/9.

The y-intercept (c) is the value when x = 0. Substituting x = 0 into the equation, we get:

y = (72 - 7(0)) / 9
y = 72 / 9
y = 8

Therefore, the y-intercept is (0, 8).

It looks like your answers for the slope and y-intercept are correct:
Slope = -7/9
Y-intercept = (0, 8).