Question

write the following linear equation in slope - intercept form. determine the slope and vertical intercept of the line. -x + 19y = 38
choose the correct linear equation in slope - intercept form.
y = 1/2x + 19
y = -1/19x + 2
y = 1/19x + 2
y = 1/19x - 2

Explanation:

Step1: Isolate y - term

Add x to both sides of -x + 19y = 38, getting 19y=x + 38.

Step2: Solve for y

Divide each term in 19y=x + 38 by 19. So y=$\frac{1}{19}x+2$.

Answer:

y=$\frac{1}{19}x + 2$ corresponds to the option: y=$\frac{1}{19}x+2$ (the third - option in the multiple - choice list).