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Which equation represents a line that passes through (4, 5) and has a slope of ?
Oy--(-4)
Oy-- (-4)
Oy- } = 4(x-)
Oy- 4 = (x - 1)

Which equation represents a line that passes through 4 5 and has a slope of Oy4 Oy 4 Oy 4x Oy 4 x 1 class=

Respuesta :

xKelvin

Answer:

B

Step-by-step explanation:

Since we are given a point and the slope, we can use the point-slope form. Point-slope form is given by:

[tex]y-y_1=m(x-x_1)[/tex]

Where (x₁, y₁) is a point and m is our slope.

Let's let our point (4, 1/3) be (x₁, y₁) respectively.

We also know that our slope is 3/4. So, we will substitute 3/4 for m.

This yields:

[tex]\displaystyle y-\frac{1}{3}=\frac{3}{4}(x-4)[/tex]

The choice that represents this is B.

So, our correct answer is B.

And we're done!

sparkle006

Answer:

[tex]y - \frac{1}{3} = \frac{3}{4} (x - 4)[/tex]

Step-by-step explanation:

Given the line passes through (4, 1/3) and it's slope is 3/4

[tex]y = mx + c[/tex]

[tex]slope = m[/tex]

[tex]m = \frac{3}{4} [/tex]

[tex]y = \frac{3}{4} x + c[/tex]

At (4, 1/3)

[tex] \frac{1}{3} = \frac{3}{4} (4) + c[/tex]

[tex]c = - \frac{8}{3} [/tex]

[tex]y - intercept = - \frac{8}{3} [/tex]

The equation of the line:

[tex]y = \frac{3}{4} x - \frac{8}{3} [/tex]

The answer is:

[tex]y - \frac{1}{3} = \frac{3}{4} (x - 4)[/tex]

*if you expand the equation above you will get the equation of line you initially got*

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