Question 1065990: Given the points (-3, 5) and (6, -2): (15 points)
a) Find the slope of the line through the points.
b) Write an equation in point-slope form of the line through the points.
c) Convert the equation to slope-intercept form.
d) Convert the equation to standard form, Ax + By = C, where A, B, and C are integers.
e) Graph the equation. You may use the axes provided, or create your own graph.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Slope is change of y over change of x
-7/9.
point slope formula of y-y1=m(x-x1), where m is slope and (x1,y1) is a point.
y+2=(-7/9)(x-6)
so y=(-7/9)x+(42/9)-(18/9)=(-7/9)x+(24/9), slope-intercept form
multiply by 9 and put x and y on the same side with integer coefficients for all terms and the x coefficient is positive.
7x+9y=24
Check to see that both points work. They do.
Graph by y-intercept (24/9) and slope over right 9 and down 7. Also when y=0 x=24/7, when x=0, y=24/9
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