3 years ago

Solve for x. Enter the solutions from least to greatest. 2x^2– 5 = 13

Mathematics

1 answer:

frosja888 [35]3 years ago

5 0

Answer:

x1 = -3 x2 = 3

Step-by-step explanation:

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(-3,2) and ( 2,-13) slope intercept equation

Georgia [21]

Given:

The points are (-3, 2) and (2, -13).

To find:

Slope-intercept form of the equation.

Solution:

Here $x_1=-3, y_1=2, x_2=2, y_2=-13$ .

Slope of the line:

$$m=\frac{y_2-y_1}{x_2-x_1}$

$$m=\frac{-13-2}{2-(-3)}$

$$m=\frac{-15}{5}$

m = -3

Using point-slope formula:

$y-y_1=m(x-x_1)$

$y-2=-3(x-(-3))$

$y-2=-3(x+3)$

$y-2=-3x-9$

Add 2 on both sides.

$y-2+2=-3x-9+2$

$y=-3x-7$

Slope-intercept form of the equation is y = -3x - 7.

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3 years ago