Answer:
slope of dilated line=3
and y-intercept of line= -20.
Explanation:
Here the center of dilation is the origin.
(1) " If that line passes through the point which is the center of the dilation, nothing will change ".
(2) but if it does not "A dilation takes a line NOT passing through the center of the dilation to a parallel line" .
Here our line does not passes through the center of dilation i.e. origin.
Hence we will use (2) condition.
we have the given line as:
y=3x-5.
the line parallel to this line will have the same slope. also the line is dilated by a scale factor of 4.
Hence the dilated line is: y=3x-20
Hence the slope of dilated line=3 ( since on comparing the line with slope-intercept form y=mx+c; where m is slope of the line and c is the y-intercept of the line)
The y-intercept of the dilated line is -20.