Question

Write the equation in point slope from for the line that passes through each point with a given slope

1.(-7,6) m=0
2.(2,-1), m=3
3.(-6,8),m=-5/8"

Answer 1

To write the equation in point slope form, use the formula y - y1 = m(x - x1), where (x1, y1) represents the given point and m is the slope. For the given points and slopes, the equations are y = 6, y = 3x - 7, and y = -5/8x - 23/4.

Step-by-step explanation:

To write the equation in point slope form, we can use the formula: y - y1 = m(x - x1), where (x1, y1) represents the given point and m is the slope. Let's solve each part:

1. Point (-7, 6) with m = 0: Here, x1 = -7, y1 = 6, and m = 0. Plugging these values into the formula, we get y - 6 = 0(x - (-7)), which simplifies to y - 6 = 0. Therefore, the equation in point slope form is y = 6.
2. Point (2, -1) with m = 3: Here, x1 = 2, y1 = -1, and m = 3. Plugging these values into the formula, we get y - (-1) = 3(x - 2), which simplifies to y + 1 = 3x - 6. Rearranging the equation, we have y = 3x - 7.
3. Point (-6, 8) with m = -5/8: Here, x1 = -6, y1 = 8, and m = -5/8. Plugging these values into the formula, we get y - 8 = -5/8(x - (-6)), which simplifies to y - 8 = -5/8(x + 6). Rearranging the equation, we have y = -5/8x - 23/4.