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What is the y intercept for a line with point (1,4) slope: 3?

Answer 1

I found: #(0,1)#.

We can find the equation of your line using: #y-y_0=m(x-x_0)# where we use the coordinates of your point and the slope #m# as: #y-4=3(x-1)# #y=4+3x-3# #y=3x+1# set #x=0# in it, then you have: #y=1# So, y-interept will be at #(0,1)#.

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Answer 2

Avery Alexander

To find the y-intercept of a line given a point (1, 4) on the line and a slope of 3, use the slope-intercept form equation (y = mx + b), where (m) is the slope and (b) is the y-intercept.

Plug the slope (3), and the coordinates of the point (1, 4) into the equation: [4 = 3(1) + b]
Solve for (b): [4 = 3 + b] [b = 4 - 3] [b = 1]

Therefore, the y-intercept of the line is 1.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.