Question

write a slope intercept equation of the line whose graph is parallel to y=7x-4 and has the y intercept (0,6)

Answer 1

if the new line is parallel, it should have the same slope, right? What is the slope of y = 7x-4 ?

Answer 2

i think so i am very confused with slopes and intercepts

Answer 3

slope is how much it goes up or down divided by how much it moves left or right.

Answer 4

7 would be the slope?

Answer 5

Yes, exactly :)

Answer 6

However, the line you need to write goes through a different point on the y axis than the original line, y = 7x - 4.

Your new line has the same slope, 7, but a different "crossing point" on the y axis, which is what the intercept is.

Answer 7

The problem tells you that it crosses at point (0,6).

And your line format is y = mx + b where m is the slope and b is the value of y at the point of the y intercept... in other words, for the point (0,b), then b is the y intercept that goes in the equation.

you told me (correctly!!) that your slope needed to be 7
and they tell you the y intercept is (0,6), so your y intercept for the equation is 6

Can you write the new line equation now?