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2 years ago

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

Mathematics

2 answers:

evablogger [386]2 years ago

7 0

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

Nataliya [291]2 years ago

3 0

Answer:

y = 3x - 3

Step-by-step explanation:

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

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

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

Plug in:<em> y - 0 = 3(x - 1)</em>

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

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