Write an equation in​ slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.

Write an equation in slopeintercept form of the line that passes through the given point and is parallel to the graph of the given equation class=

Respuesta :

To find the parallel :

First of all, Parallel equations should have the same slope and a different y-intercept!

Take the equation of a linear function : y = mx + b, the slope here is m and the y intercept is b.

When we’re given a point (x,y), we write our equation in the y = mx + b form, then substitute the given point for (x,y) and solve for B!

Practice

We already know our equation will be in the form y = mx + b

And we also know that the slope will be the same : m = 4/7

So y = 4/7x + b

Lets find b !

The line passes through the point (0,0) of origin :

0 = 4/7*0 + b

b = 0

So the y intercept is b = 0

And finally the equation will be :

y = 4/7x

Good Luck

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