1 What is the y-intercept of a line that has a slope of 4 and passes through point (8, 3)?
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Ο Ο Ο Ο
11

The slope-intercept form: y = mx + b

m - a slope

b - y-intercept

We have a slope m = 1/4. Substitute: y = 1/4 x + b

We know, the line passes through point (8, 3) → x = 8, y = 3.

Put the values of x and y to the equation of the line:

1/4 · 8 + b = 3

2 + b = 3 |-2

b = 1

y-intercept is (0, 1)

Step-by-step explanation:

using the a-c method to factor the quadratic the factors of the product 3×1=3 which sum to -4 and -3 and -1 split the middle term using these terms .

3x² - 3x - x + 1

3x( x-1) -1 ( x-1 )

take out common factor ( x -1)

= (x-1) (3x-1)

3x²-4x+1 = (x-1) (3x-1)