Question

Write the equation of a line in the slope-intercept form that has a slope of 4 and contains the point (4, 12).

Answer 1

Answer:

y=4x-4

Step-by-step explanation:

Hi there!

we are given that a line has a slope of 4 and it contains the point (4, 12)

We want to write the equation of this line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

As we are already given the slope, we can immediately substitute it into the formula.

Replace m with 4 in y=mx+b:

y=4x+b

Now we need to find b

As the equation passes through the point (4, 12), we can use it to help solve for b

Substitute 4 as x and 12 as y:

12 = 4(4) + b

Multiply

12 = 16 + b

Subtract 16 from both sides

-4 = b

Substitute -4 as b

y = 4x - 4

Hope this helps!

Topic: Finding the equation of the line

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