find the equation of the line with slope 8 and passing through (-5 , -6 ) slope intercept form

y+6 = 8(x+5)

I will leave it up to you to change it to the required form.

I try slope intercept form and stand form. Both was incorrect

from what I had:

y+6 = 8x + 40
y = 8x + 34 ---> this is correct

standard form:
8x - y = -34 ---> this is correct

general form:
8x - y + 34 = 0 ---> this is correct

To find the equation of a line using slope-intercept form (y = mx + b), we need to know the slope (m) and the coordinates of a point on the line (x, y). In this case, we have the slope (m = 8) and a point (-5, -6) on the line.

The slope-intercept form is given by:

y = mx + b

where m is the slope, and b is the y-intercept (the point at which the line intersects the y-axis).

To find the equation, we can substitute the known values into the equation:

-6 = 8(-5) + b

Now we can solve for b:

-6 = -40 + b

Adding 40 to both sides:

34 = b

Now we have the y-intercept (b = 34). The equation of the line can be written as:

y = 8x + 34