Question 409915
 <pre><font size = 3 color = "indigo"><b>
Hi
Using the point-slope formula, {{{m =(y[2] - y[1])/(x[2] - x[1])}}}
*[tex \LARGE\ Using \ the \ standard \ slope-intercept \ form \ for \ an \ equation \ of \ a  \ line \ y = mx + b ] 
*[tex \LARGE\ where \ m \ is \ the \ slope \ and \ b \ the \ y-intercept]
1) What is the equation of the line whose y-intercept is 3 and slope is 1
y = x + 3  
2) What is the slope of a line parallel to the line whose equation is y - x = 5
 y-x=5  Or y = x+5  |slope of these parallel lines is m = 1
3)What is the equation of a line that passes through points (-1, 2) and (5, 2)?
(-1, 2) and 
 (5, 2)  m = 0   y = 2 OR y-2 = 0
4)What is the equation of a line with a slope of -2 and a y-intercept of 8?
   y = -2x + 8    OR 2x+ y -8 = 0
5)What is the equation of the line that passes through the point (1, 1) 
  and has a y-intercept of 2, thus Pt(0,2)
 (1,1)
 (0,2)  m = -1   
 y = -x + b    |using ordered pair Pt(0,2) to solve for b
 2 = b
 y = -x + 2
  {{{drawing(300,300,   -10,10,-10,10,  grid(1),
circle(1, 1,0.3),
circle(0, 2,0.3),
graph( 300, 300, -10,10,-10,10,0,-x+2 ))}}}