Line y = kx + b passes through point D (-8; 6k). Write down the equation of this line
June 9, 2021 | education
| Line y = kx + b passes through point D (-8; 6k). Write down the equation of this line if it is known that the number k is more than the number b by 14.
We have a straight line y = k * x + b and a point D (-8; 6k), which belongs to the graph of the function.
Substitute the values of the coordinates of the point in the straight line formula and get:
6 * k = – 8 * k + b;
14 * k = b;
By the condition of the problem, it is known that the number k is more than the number b by 14:
k = b + 14.
Substitute this expression for the number k:
14 * (b + 14) = b;
13 * b = -196;
b = -196/13;
k = b + 14 = -196/13 + 182/13 = -14/13;
y = -14/13 * x – 196/13 is the equation of our line.
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