What is the equation of the line in slope-intercept form dat passes Through point (4,5) and is parallel to the line y=-2x-2?

Answer 1

Slope Intercept Form: y = mx + b

Parallel Lines have the same slope, so m = -2

So, now we have: y = (-2)x + b

To solve for b (the y-intercept) just plug in the given (x,y) pair.

(4,5) --> 5 = (-2)(4) + b

5 = -8 + b

13 = b

Put it all together to get: y = (-2)x + 13

Answer 2

Use Pont-slope form from Algebra 1

(y - 5) / (x - 4) = -2