Question

Through: (-1, 0), parallel to y = 3x

Answer 1

y = 3x - 3

Explanation:

Since our line is parallel to y = 3x, our slope should be 3. We also have the points (-1, 0).

From here, we can use the point-slope form (how convenient):

y - y₁ = m(x - x₁), where (x₁, y₁) is the given coordinate on the line, and m is the slope of the line

Plug in: y - 0 = 3(x - 1)

We could leave it here, but we should convert this line into the more commonly-seen slope-intercept form.

Distribute: y - 0 = 3x - 3

Identity: y = 3x - 3

Answer 2

y = mx + b

m = slope

b = y-intercept

Since it is parallel to the equation y = 3x it means that the equation that goes through point (-1, 0) has the same slope (3x)

To find the b plug the x and y of point (-1, 0) into the equation: y = 3x + b then solve for b

0 = 3(-1) + b

0 = -3 + b

0 + 3 = (-3 + 3) + b

3 = b

so...

y = 3x + b

Hope this helped and made sense!

~Just a girl in love with Shawn Mendes