Line has the equation y=2x+2. write the equation of the image of after a dilation with a scale factor of 4, centered at the origin.
write your answer in slope-intercept form.

Step-by-step explanation:

Given:

The original equation of the line 'l' is given as:

Scale factor of dilation is,

Now, when a line is dilated by some scale factor 'k' centered at the origin, then the parallelism of the line is reserved and only the y intercept changes.

The rule of dilation for a point with a scale factor 'k' is given as:

The standard form of a line is of the form , where, 'm' is the slope and 'b' is the y-intercept of the line. On comparing the line 'l' with the standard form, we get:

The y-intercept is at the point (0, 2). Now, applying dilation rules on this point, we get:

So, the new y-intercept after dilation is at (0, 8) or the new value of 'b' is 8.

Therefore, the dilated line equation is given as:

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

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step-by-step explanation: