Please help me to solve this problem. Thank you in advance for helping to solve this problem. Have a great day.

Here is the question? Use the point-slope form to write the given slope and point. Leave the equation in that form:

slope 7/8, passes through (-2,-9)

Point slope form is

y-y1 = m(x-x1)

y-(-9) = (2/7)*(x-(-2))

y+9 =(2/7)*(x+2)

Thanks is this the answer?

Yeah

Made a small typo.. Answer is

y+9 =(7/8)*(x+2)

Thank you

Sure! To write the equation of a line using the point-slope form, which is y - y1 = m(x - x1), where m represents the slope and (x1, y1) is a point on the line, we can follow these steps:

Step 1: Identify the given slope m and the given point (x1, y1).
In this case, the given slope is 7/8, and the given point is (-2, -9).

Step 2: Substitute the values into the point-slope form equation.
Using the given slope (m = 7/8) and point (x1 = -2, y1 = -9), the equation becomes:

y - (-9) = (7/8)(x - (-2))

Simplifying:

y + 9 = (7/8)(x + 2)

Step 3: Rearrange the equation into the desired form.
To have the equation in point-slope form, we can leave it as it is:

y + 9 = (7/8)(x + 2)

And that's it! The equation, in point-slope form, for a line with a slope of 7/8 passing through the point (-2,-9) is y + 9 = (7/8)(x + 2).