the slope of the line passing through (2,3) and (4,7). the slope of the line 3x+5y=12 which is greater or less

Answer 1

ok so the standard equation of a line is y = mx + b, so you want to get the second equation into that form:

5y = 12- 3x
y= 12/5-3/5X
so the slope here is -3/5

for the set of two points:
the equation for a slope is (y2-y1)/(x2-x1) so:
(7-3)/(4-2) = 4/2

so 2 is greater than -3/5 therefore, the slope of the first line is larger

Answer 2

y2 - y1/ x2 - x1 4 - 4/ 2 - (-6) = 0/8 = 0 A line with a slope of 0 is a horizontal line. If the 0 had been in the denominator, the slope would have been "undefined". I hope that helps. Good luck.

Answer 3

the first is rise over run... so, just take the difference between the y values and divide by the difference in x values... !!! make sure you pick one set of coordinates and use it for the number being subtracted for both differences... see below

(3-7)/(2-4) or (7-3)/(4-2) but not (3-7)/(4-2) because your signs will get screwed up...

m=(7-3)/(4-2) = 4/2 = 2

The second one, just solve for y
3x+5y=12
5y=12-3x
y=12/5 - 3x/5
so m = -3/5