Question

What is the y-intercept of a line that passes through the points (3, -3.8) and (5, -3)? (1 point)

Enter the solution in the box below.

Answer 1

Explanation:

We can solve this by either identifying the equation or by graphing. We'll try both.

Find the Equation

The slope of the line can be determined from the Rise/Run of the 2 given points:

Going from ((3,-3.8) to (5,-3):

Rise = (-3 - (-3.8) = 0.8

Run = (5 - 3) = 2

Slope = 0.8/2 or 0.4

The equation for this line is y = 0.4x + b, where b is the y-intercept.

Enter either point to find b:

y = 0.4x + b

-3 = 0.4*(5) + b for point (5,-3)

-3 = 2+b

b = -5

The equation is y = 0.4x - 5

The y=intercept is -5 (the value of b)

Graphing

See the attached graph. Mark the two points and then draw a straight line between them. The point at which the line crosses the y axis is the y-intercept (0,