Answer:
[tex]slope = - \frac{6}{7} \\ y-intercept = 7 \frac{3}{7} [/tex]
Step-by-step explanation:
Let's rewrite the equation into the form of y=mx+c, where m is the slope and c is the y-intercept.
6x +7y= 52
7y= -6x +52 (-6x on both sides)
[tex]y = - \frac{6}{7} x + 7 \frac{ 3}{7} [/tex]
Thus,
[tex]slope = - \frac{6}{7} [/tex]
[tex]y-intercept = 7 \frac{3}{7} [/tex]
Alternatively, since y-intercept is when the line cuts through the y- axis (at x=0), substitute x= 0 to find the y-intercept.
6x +7y= 52
When x=0,
6(0) +7y= 52
7y= 52
y= 52 ÷7 (÷7 on both sides)
[tex]y = 7 \frac{3}{7} [/tex]
