HELP PLS?

To solve this problem, first find the slope of the first two points.

$m=\frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}$

$m=slope$

${y}_{2}=$y-point in second point

${y}_{1}=$y-point in first point

${x}_{2}=$x-point in second point

${x}_{1}=$x-point in first point

${y}_{2}=3$

${y}_{1}=4$

${x}_{2}=6$

${x}_{1}=2$

$m=\frac{3-4}{6-2}$

$m=\frac{-1}{6-2}$

$m=\frac{-1}{4}$

$m=-\frac{1}{4}$

Next, do the same for the second and third points and solve for c.

$m=-\frac{1}{4}$

${y}_{2}=c$

${y}_{1}=3$

${x}_{2}=-5$

${x}_{1}=6$

$-\frac{1}{4}=\frac{c-3}{-5-6}$

$-\frac{1}{4}=\frac{c-3}{-11}$

$-\frac{1}{4}\times-11=\frac{c-3}{-11}\times-11$

$\frac{11}{4}=\frac{c-3}{-11}\times-11$

$\frac{11}{4}=c-3$

$\frac{11}{4}+3=c-3+3$

$\frac{11}{4}+\frac{12}{4}=c-3+3$

$\frac{11+12}{4}=c-3+3$

$\frac{23}{4}=c-3+3$

$5.75=c-3+3$

$5.75=c-0$

$5.75=c$

$c=5.75$