Respuesta :

The equation of the straight line that has x-intercept 1 and y-intercept 4 is:

4x - y = 4

What is a straight line?

"A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point."

Given, the line has a x-intercept of 1 and y-intercept of 4. T

Therefore, the line passes through the points (1, 0) and (0, 4).

Now, we can find the slope of the line 'm' that passes through those either points.

Therefore, (x₁ - x₂) = m(y₁ - y₂)

⇒ (1 - 0) = m(0 - 4)

⇒ m = [tex]\frac{1}{4}[/tex]

Now, the equation of the line that has x-intercept 1 and y-intercept 4 is:

(x - x₁) = m(y - y₁)

⇒ (x - 1) =      [tex]\frac{1}{4}[/tex](y - 0)

⇒ 4(x - 1) = y

⇒ 4x - y = 4

Learn more about the equation of a straight line here: https://brainly.com/question/4429482

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