Answer:
C.
Step-by-step explanation:
1) the slope-interception form of the given line is:
y=s*x+i, where s - the slope, i - interception;
according to the condition it is
y=1/8*x+i;
2) if to substitute the coordinates of the given point (-10;4) into the slope-interception form, then:
4=1/8* (-10)+i, ⇒ i=21/4;
the equation of the given line is:
y=1/8*x+21/4
3) according to the condition the given point with the coordinates (-6;w) belongs to the line. It means, it is possible to substitute its coordinates into the equation, then calculate the value of the 'w':
w=1/8*(-6)+21/4; ⇒ w=9/2.
Answer C. 9/2
Note: the suggested option is not the only.
