Question

Find the slope and the equation for the line passing through the points: (-3,0) and (-1,2)

Answer 1

Answer:

• slope: 1
• equation: y = x +3

Step-by-step explanation:

The slope of the line between two points can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (2 -0)/(-1 -(-3)) = 2/2

  m = 1 . . . . . the slope of the line is 1

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The value of the y-intercept can be found by solving the slope-intercept equation for b.

  y = mx +b

  b = y -mx

  b = (0) -(1)(-3) = 3 . . . . . using point (x, y) = (-3, 0)

The equation of the line with slope 1 and y-intercept 3 can be written as ...

  y = x +3