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charle [14.2K]
3 years ago
15

Graph the line with a slope of 2/5 that goes through (3,1)

Mathematics
2 answers:
Triss [41]3 years ago
5 0

Answer:

y = \dfrac{2x}{5} - \dfrac{1}{5}

Step-by-step explanation:

Given:

\bullet \ \ \text{Slope of line:}\  \dfrac{2}{5} \\\\  \bullet \ \text{Passes through:} \ (3, 1)

To determine the equation of the line, we will use point slope form.

<u>Formula of point slope form:</u>

  • → y - y₁ = m(x - x₁)

Where "x₁" and "y₁" are the coordinates of the point and "m" is the slope.

Substitute the coordinates and the slope:

:\implies y - 1 = \dfrac{2}{5} (x - 3)

Simplify the R.H.S:

:\implies y - 1 = \dfrac{2x}{5} - \dfrac{6}{5}

Add 1 both sides:

:\implies y - 1 + 1 = \dfrac{2x}{5} - \dfrac{6}{5} + 1

Simplify the equation:

:\implies y = \dfrac{2x}{5} - \dfrac{6}{5} + \dfrac{5}{5}

:\implies \boxed{y = \dfrac{2x}{5} - \dfrac{1}{5}}

<u>Graphing the line on a coordinate plane:</u>

In this case, we are already given a point (3, 1). We can simply plot the y-intercept [\bold{\frac{-1}{5} }] on the coordinate plane. Then, we can draw a straight line through both points. It is suggested that you use a ruler to do so.

Graph attached**

Alex73 [517]3 years ago
5 0

Answer:

See attachment and explanation

Step-by-step explanation:

slope is x/y, which means for each x how many y's it moves by.

so,

2/5 means for every 2 x's it goes up by 5 y's.

so,

you take the point A and go right 2 and go up 5. That's the next point (5,6)

Same with the point other side of A. Go left 2 and go down 5. That's another point (1,-4)

Since, the slope 2/5 is positive, the line will be an increasing line. As shown in the attached image.

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VladimirAG [237]

Answer:

x = -6

Step-by-step explanation:

The triangle in the picture is an isoceles triangle in which the measure of top vertex angle is given and one of the base angles is also given.

According to angle sum property of triangle , sum of measure of all the angles of traingle is 180°. Also, in isosceles triangle , the base angles are always equal to each other .

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Step-by-step explanation:

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Step-by-step explanation:

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