00:01
So in the given question we have to deal with two forms of equations, one of which is the point slop form.
00:11
So here this form represents a line which passes through the point x1 y1 and has a slop equal to m.
00:24
So the equation is y minus y1 is equal to m times x minus x1.
00:31
So this is the point slop form.
00:35
Now next we have the slop intercept form, right? so the slop intercept form represents a line with slop, say, m.
00:56
And if the line cuts the y -axis at b, then we can say that the y -inderset of the line.
01:05
Is equal to b and such a line is represented by the equation y equals mx plus b which is the slop in the such form so now we have a line that passes through the point minus 3 2 and the line is parallel to another line whose equation is parallel to a line whose equation is y equals 4x plus 1.
01:55
So if a line is parallel to this line, it would have the same slope as the given line.
02:03
So parallel lines have the same slot, right? so that is a property of parallel lines.
02:11
Parallel lines have the same slope so the equation of the given line is in slop intercept form and we know that according to the slop intercept form 4 would be the slope of this line so if that's the case we have a line which passes through the point minus 3 2 and has the slop equals 4 so now let's use the point slop form and write an equation using this point...