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Answer:

y= 12x-16

Step-by-step explanation:

Given that you have a slope of 12 and a point of (3, 20), you are most obligated to using the Slope-Intercept form, or y=mx+b.

What this allows you to find is the y-intercept if your line has one. You take your point, (3,20), and you insert the values at the appropriate places. You should now have 20=12(3)+b. You will then solve for b by multiplying 12 and 3 to get 36 and subtract that from both sides of the equal sign. You should have 20-36=b. 20-36 is -16, which is your y-intercept.

Now you know all your needed values, you would write the Slope-Intercept form without the values for y and x, to represent your equation.

Since 12 is your slope, it will be 'm' and -16 will be 'b'.

You will end with y = 12x - 16.

Cricetus

The equation in slope intercept form will be "y = 12x - 16".

Given:

Line passing through,

  • [tex](x_1,y_1) = (3, 20)[/tex]

Slope,

  • [tex]m = 12[/tex]

The equation will be:

→ [tex]y - y_1 = m(x-x_1)[/tex]

By substituting the values,

→ [tex]y-20=12(x-3)[/tex]

→ [tex]y-20=12x-36[/tex]

          [tex]y = 12x-16[/tex]

Thus the above answer is right.

Learn more about intercept here:

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