The line whose equation is 3x - 5y = 4 is dilated by a scale factor of 3 centered at the origin. Which statement is correct? *

Answer 1.

Step-by-step explanation:

The complete question is:

The line whose equation is 3x - 5y = 4 is dilated by a scale factor of 3 centered at the origin. Which statement is correct?

1. The image of the line has the same slope as the pre-image but a different y-intercept.

2. The image of the line has the same y-intercept as the pre-image but a different slope.

3. The image of the line has the same slope and the same y-intercept as the pre-image.

4. The image of the line has a different slope and a different y-intercept from the pre-image.

Recall that a dilation by a scale factor r centered at the origin takes a point (x,y) and maps it to the point (r*x,r*y).

Consider also a line of equation . From this equation, the slope of the line is given by the number and the y-intercept is given by .

Consider the given equation 3x-5y =4. If we replace (x,y) with (3x,3y), we get

which is equivalent to

Note that comparing the equations 3x-5y=4 and the values of a and b are equal but the value of c is different. This means that they have the same slope but a different y-intercept.

step-by-step explanation:

y=mx+b

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.