Question 409777
 <pre><font size = 3 color = "indigo"><b>
Hi
find the linear equation passing through (4,2) (-3,5)
Using the point-slope formula, {{{m =(y[2] - y[1])/(x[2] - x[1])}}}
( 4,2) 
(-3,5)  m = -3/7
*[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 = (-3/7)x + b   |using ordered pair Pt(4,2) to solve for b
2 = -12/7 + b
26/7 = b
y = (-3/7)x + 26/7 
{{{drawing(300,300,   -6, 6, -6, 6,  grid(1),
circle(4, 2,0.3),
circle(-3, 5,0.3),
circle(0, 26/7,0.3),
graph( 300, 300, -6, 6, -6, 6,0,(-3/7)x + 26/7 ))}}}