Question

Given the linear equation y = 4x + 2, find the y-coordinates of the points (-2, ), (1, ), and (-3, ). Please show all of your work. Plot these points and graph the linear equation.

Answer 1

to get the y-coordinates, we just substitute the value of the x-coordinates given.
at x = -2:
y = 4x + 2
y = 4(-2) + 2
y = -8 + 2
y = -6
thus (-2, -6)

at x = 1:
y = 4x + 2
y = 4(1) + 2
y = 4 + 2
y = 6
thus (1, 6)

at x = -3:
y = 4x + 2
y = 4(-3) + 2
y = -12 + 2
y = -10
thus (-3, -10)

to plot this, you locate all the points we solved above. then connect these points and extend on both ends.

hope this helps~ :)