Which equation is the slope-intercept form of the line that passes through (1, 2) and is parallel to the graph of y = 83x?

The slope-intercept form: y = mx + b.

Parallel lines have the same slope.

k: y = 83x, l: y = mx + b

l ║k ⇒ l: y = 83x + b

Substitute the coordinates of the point (1, 2) to the equation of a line l :

2 = 83(1) + b

2 = 83 + b      subtract 83 from both sides

-81 = b → b = -81

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,