Question

Find the value of R so the line that passes through each pair of points has the given slope ( -12, R ), ( 5 , -3), m = 2

Answer 1

-37

Explanation:

1) to find the equation of the given line (its slop-interception form is y=mx+i, where m - slop, i - interception):

a) y=2x+i, where m=2;

b) it is possible to calculate the value of 'i' after the substitution the point (5;-3) into the equation y=2x+i:

-3=2*5+i; ⇒ i= -13;

c) the equation of the given line is y=2x-13.

2) to calculate the value of 'R':

if to substitute the point (-12;R) into the equation y=2x-13, then

R=2*(-12)-13; ⇒ R= -37.