Suriin ang IDNStudy.com para sa mabilis at maaasahang mga solusyon. Ang aming komunidad ay nagbibigay ng eksaktong sagot upang matulungan kang maunawaan at malutas ang anumang problema.

what the answer  7x+5y=10 at the slope, x-intercept, y-intercept and trend the line


Sagot :

7x+5y=10
5y= -7x +10
y=  -7/5x +2      to get the y intercept, let x = 0
 thus    y  intercept = 2
                         to find the x intercept, let  y = 0
thus    x  intercept  =  2/(7/5) =  10/7
the slope is    -7/10     &    the trend of the line is decreasing
                                           from left to right
[tex]7x+5y=10 \\ the \ slope \ intercept \ form \ is : \\ \\ y= mx +b \\ \\ 5y=-7x+10 \ \ /:5\\\\y=-\frac{7}{5}x+2 [/tex]
 
[tex]The \ slope \ is : \\\\ m=-\frac{5}{7}\\\\To \ get \ x-intercept, \ set \ y = 0 \\\\ 0=-\frac{7}{5}x+2 \ \ / \cdot 5\\\\0=-7x+10[/tex]

[tex]7x=10\ \ / : 7\\\\x=\frac{10}{7}\\\\To \ get \ y-intercept, \ set \ x = 0 \\\\y=-\frac{7}{5} \cdot 0+2 \\ \\y=2[/tex]