Find the equation of the line: With an x intercept of 4 and ay intercept of −1.5.

Step-by-step explanation:

Part 1: Determining slope from two given points

We are given the points and . We can go ahead and make the first part of the equation because we are given one of the unknowns (the y-intercept, or ). The equation becomes .

Part 2: Determine the coordinate points

is a x-intercept, meaning it crosses the x-axis at this point. The y-value is ⇒ is the first point.

is a y-intercept, meaning it crosses the y-axis at this point. The x-value is ⇒ is the second point.

Now, plug these values into the point-slope formula:

Plug this information into the equation to get your final answer of .

y = (3/8)x - 1.5

Step-by-step explanation:

Use the slope-intercept form y = mx + b.  Substitute -1.5 for b, 4 for x and 0 for y.  Then:  0 = m(4) - 1.5, or

4m = 1.5, or

The slope is m = 1.5/4, or m = 0.375, or m = 3/8.

Note that the x-intercept can be treated just like any other point:  (4, 0)

Then the desired equation is     y = (3/8)x - 1.5

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2