In the coordinate plane line p had slope 8 and y intercept (0,5). line r is the result of dilating line p by a factor of 3 with (0,3) what is the slope and y intercept of line r?

Step-by-step explanation:

Given that In the coordinate plane line p had slope 8 and y intercept (0,5).

Hence equation of line p is

y = 8x+5 (slope intercept form)

When we dilate p by a factor of 3, we have

we find that slope would remain the same but the y intercept would become 3 times.

Hence new line would be

y = 8x+15

Slope = 8 and y intercept = 15

This line will be parallel to original line.

Line r will have a slope of 8 and a y-intercept of (0,9).

Step-by-step explanation:

When it comes to dilations, the slope will not change, just the size of the line, which is unimportant. So the slope remains 8.

Since it’s a dilation starting from (0,3) this means there’s a difference of 2 in there y-values. The dilation is 3, so that gives a total of 6. (0,3) + 6y is (0,9) so the y-intercept is (0,9).

5x+2x=49

7x=49

x=7. 35 apples