Question

1

What is the y-intercept of a line that has a slope of 2 and passes through point (8,3)?
1
3
5
11

Answer 1

the y intercept is -13

Explanation:

Answer 2

First of all we need the line equation so let's find it first :

y = mx + b

y = 2x + b

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The line passes through point ( 8 , 3 ) which means if put 8 instead of x the y must equals to 3 :

2(8) + b = 3

16 + b = 3

b = 3 - 16

b = - 13

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Now we have the equation of the line :

y = 2x - 13

To find the y-intercept we just need to out 0 (zero ) instead of x ; Let's do it :

y = 2(0) - 13

y = 0 - 13

y = - 13

Thus the y-intercept = - 13