Question 1 Find the equation for the line that passes through the points (2, 2) and (4, 6). Give your answer in point- slope form. You do not need to simplify. Submit Question Jump to Answer search

Step-by-step explanation:

Equation of a line:

The equation of a line that passes through point , in point-slope form is given by:

In which m is the slope.

Finding the slope:

To find the slope of a line, we need a pair of points. The slope is given by the change in y of these points divided by the change in x.

In this question:

Points (2,2) and (4,6).

Change in y: 6 - 2 = 4

Change in x: 4 - 2 = 2

Slope:

So

I can consider any of these two points , i will use (2,2). So

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

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step-by-step explanation: