Question 409730
 <pre><font size = 3 color = "indigo"><b>
Hi
Write the slope-intercept equation for the line that passes through (5,4) and (7,8)
Using the point-slope formula, {{{m =(y[2] - y[1])/(x[2] - x[1])}}}
(5,4) and 
(7,8)  m = -4/-2 = 2
*[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]
y = 2x + b   |using ordered pair Pt(5,4) to solve for b
4 = 10 + b
-6 = b
y = 2x -6
 {{{drawing(300,300,   -10,10,-10,10,  grid(1),
circle(5, 4,0.3),
circle(7, 8,0.3),
circle(0, -6,0.3),
graph( 300, 300, -10,10,-10,10,0,2x-6 ))}}}