15 POINTS!

Write the slope-intercept form of the equation of the line through the given point with the given slope. Use
y-y = m(x-x) to solve.

through (2,5)
slope= undefined

Respuesta :

Answer:

y = 2x + 1

Step-by-step explanation:

  • Slope-int form: y = mx + b
  • m = slope or rise/run
  • b = y-intercept

Given:

  • Point (2, 5)
  • m (slope) = undefined

When a slope is undefined, the line is a vertical line (it rises but doesn't "run").

To find m, use the given point's x-coordinate because the line you're trying to find will run vertically through that point.

  • (x, y) = (2, 5); x = 2
  • m = 2

Now the equation becomes y = 2x + b.

To find b, substitute the given point and the found slope into the formula, then solve for b.

  • 5 = 2(2) + b
  • 5 = 4 + b
  • 5 - 4 = b
  • b = 1

Now that you know what b is, you can substitute b into the equation:

  • y = 2x + 1