WRITE an equation of the line that passes through the given point and is PARALLEL to the given line. (10, -12), 3x + 4y = 1

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

Rearrange the given equation into slope-intercept form (this will help us determine m)

Subtract 3x from both sides to isolate 4y

Divide both sides by 4 to isolate y

Now, we can identify that is the slope of the line. Parallel lines have the same slope, so this would also be the slope of the line we're solving for. Plug this into :

2) Determine the y-intercept (b)

Plug in the given point (10,-12) and solve for b

Add to both sides to isolate b

Therefore, the y-intercept is . Plug this back into :

I hope this helps!

i think it would be 42cm

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2