Mathematics, 31.07.2020 01:01 tsdean21

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

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Answer from: annethelusma25

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

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 ). 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 ⇒ (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, -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 $\boxed{y=\frac{3}{8} x-1.5}$ .

Answer from: baxter58

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 from: Quest

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step-by-step explanation:

Answer from: Quest

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