Answer:
1. y = 1/4x-1 or y = 0.25x-1
Step-by-step explanation: Hello! You can do this by using the slope-intercept equation. The slope-intercept formula is y = mx+b. You have the x and y coordinates already, which is all you need to solve the equation. m = slope, b = y-coordinate in the formula y = mx+b. The first thing you have to do is find the slope. To find the slope, use the formula (y2 - y1)/(x2-x1). The y-coordinates are the second numbers in the coordinate pairs, and the x-coordinates are the first numbers in the coordinate pairs. Put the information in the formula. You now have: (0 - (-2))/(4 - (-4)). Two negatives make a positive, so you can simplify this equation by writing (0 + 2)/(4 + 4). Add both equations. You now have 2/8. You can simplify this even more by dividing the numerator and denominator by 2. 2/8 divided by 2/2 = 1/4. You now know the slope is 1/4.
The next thing you have to do is use the point-slope formula. The point-slope formula is y - y1 = m(x - x1). m = slope, so put the slope you know (1/4) in the equation. y - y1 = 1/4(x - x1). You also know that y1 = -2 and x1 = -4 from the given coordinate pairs. Fill this information in.
y - (-2) = 1/4(x - (-4)). Two negatives make a positive, so you can simplify this into: y + 2 = 1/4(x + 4). Distribute 1/4 to x and -4. 1/4 x x = 1/4x, and 1/4 x 4 = 1. You now have y + 2 = 1/4x + 1. Subtract 2 from both sides. y + 2 - 2 = 1/4x + 1 - 2. You now have y = 1/4x-1. This is in the format y = mx+b, which is what you are supposed to do. The answer for question 1. is y = 1/4x-1. Hope this helps you with the rest of the problems! If you still need help after this, I can teach you how to do the second question as well.