Choose all that give the correct equation of the line parallel or perpendicular to the given line passing through the point. (20 points! )

The correct statement are the first and the second

The first statement:
y = (-2/3) x - (13/3)
slope = -2/3   and passing through (4,-7) because (-2/3) *4 - (13/3) = -7
the slope of the parallel line = -4/6 = -2/3

The second statement
y = (-7/2) x - (5/2)
slope = -7/2  and passing through (-3,8) because (-7/2) *-3 - (5/2) = 8
the slope of the perpendicular line = 2/7
the multiplication of the two slopes = -7/2 * 2/7 = -1


The third is false
because the lines are parallel not perpendicular

the fourth is false
because the lines are perpendicular not parallel

Hello! i hope this
since the cosine is the ratio of the adjacent side to the hypotenuse, you can see that cos 60° = ½. answer. according to the property of cofunctions (topic 3), sin 30° is equal to cos 60°. sin 30° = ½.