Line j passes through the coordinate points (4, 1) and (-3, -6). What is the y-intercept of the equation that is parallel to line j and passes through point (7, 1)?

The y-intercept (b) of the parallel line is -6.

Explanation:

PART A: First understand that a parallel line will always share the same slope. So let us calculate the slope of line j and whatever that it will be will also be the slope of the parallel line.

slope intercept form: y = mx + b

m = slope

m = y2 - y1 / x2 - x1

m = -6 -1 / -3 - 4

m = -7 /-7

m = 1  (slope of line j and parallel line)

PART B: Now that we have the slope of the parallel line we can substitute the point (7, 1) into it's equation to find it's y-intercept (b).

y = 1x + b

1 = 1(7) + b

1 = 7 + b

you will need these

an outline of all three paragraphsan identification of the historical era that you are writing aboutan explanation of the term mass productiona description of two ways new technology affected industrya conclusion that shows how new technologies allowed industrialization to grow

a stronger central government  

its what they are