Question

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

Answer 1

Answer:

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

Answer 2

Answer:

$\boxed{y=\frac{3}{8} x-1.5}$

Step-by-step explanation:

Part 1: Determining slope from two given points

We are given the points $x=4$ and $y=-1.5$. We can go ahead and make the first part of the equation because we are given one of the unknowns (the y-intercept, or $b$). The equation becomes $y=mx-1.5$.

Part 2: Determine the coordinate points

$x=4$ is a x-intercept, meaning it crosses the x-axis at this point. The y-value is $0$ ⇒ $(4, 0)$ is the first point.

$y=-1.5$ is a y-intercept, meaning it crosses the y-axis at this point. The x-value is $0$ ⇒ $(0, -1.5)$ is the second point.

Now, plug these values into the point-slope formula: $m=\frac{y_{2} -y_{1} }{x_{2}-x_{1}}$

$m=\frac{-1.5 - 0}{0 - 4}$

$m = \frac{-1.5}{-4}$

$m = \frac{3}{8}$

Plug this information into the equation to get your final answer of $\boxed{y=\frac{3}{8} x-1.5}$.