Answer:
Option (B)
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Here m = slope of the line
b = y-intercept
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the line which passes through the points (1, 1) and (-4, 7) will be,
m = [tex]\frac{7-1}{-4-1}[/tex]
= [tex]-\frac{6}{5}[/tex]
By substituting the value of m in the equation,
y = [tex]-\frac{6}{5}x+b[/tex]
Since, this line passes through (1, 1),
1 = [tex]-\frac{6}{5}(1)+b[/tex]
b = [tex]1+\frac{6}{5}[/tex]
= [tex]\frac{11}{5}[/tex]
Therefore, equation will be,
[tex]y=-\frac{6}{5}x+\frac{11}{5}[/tex]
5y = -6x + 11
6x + 5y = 11
Option B is the answer.
