NexusFluxidn
Answered

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Write an equation that represents the line.
Use exact numbers.

Write An Equation That Represents The Line Use Exact Numbers class=

Sagot :

Answer:

y = 4/5x - 18/5

or y = 4/5x - 3 3/5

or y = 1/5(4x - 18)

Step-by-step explanation:

Slope: m = (y2-y1)/(x2-x1)

Use coordinates (-3, -6) and (2, -2)

m = (-2 - -6)/(2 - -3) = (-2 + 6)/(2 + 3) = 4/5

so y = mx + b

Using coordinate (-3, -6)

-6 = 4/5(-3) + b

-6 = -12/5 + b

b = -6 + 12/5 = -30/5 + 12/5 = - 18/5 = -3 3/5

y = 4/5x - 3 3/5

ThePerfectionOne01idn

Answer:

[tex]y = \frac{4}{5} x -3\frac{3}{5}[/tex]

Step-by-step explanation:

Finding slope

Slope-intercept formula: y = mx + b

Two good points on the graph:

(2, -2)

(-3, -6)

Two-point slope formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug these points into the graph:

[tex]\frac{-6-(-2)}{-3-2}[/tex]                           solve

[tex]=\frac{-4}{-5}[/tex]                              simplify

[tex]=\frac{4}{5}[/tex]                                a negative divided by a negative is a positive

m = 4/5

Finding y-intercept

The y-intercept is the point where the line of the graph goes through the y-axis. And when x is 0. In this graph, we have a point in between -3 and -4, but closer to -4. But is nearer to -4, so we will approximate:

b = (0, -3 3/5)

The equation

The last step is setting up the equation. We are using slope-intercept: y= mx + b

Plugin the values for m and b

y = mx + b

y = 4/5x - 3 3/5 (note that since it is negative, which has a minus sign, it replaces the +.

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