Answer:
A ( 1.5, 6 ), B ( 15, 33 ), Slope ⇒ 2
Step-by-step explanation:
We are given the line y - 2x = 3;
For the value 6, let us substitute this value in terms of y such to compute the value of x on the line y - 2x = 3;
6 - 2 * x = 3 ⇒ Subtract 6 on either side,
-2 * x = - 3 ⇒ Divide - 2 on either side of equation
x = 1 and 1 / 2 for y = 6,
Solution; A ( 1.5, 6 )
Now for the value 15, let us substitute this value in terms of x to compute the value of y on the line y = 2x - 3;
y - 2 * ( 15 ) = 3 ⇒ Multiply 15 by 2,
y - 30 = 3 ⇒ Add remaining terms,
y = 33 for x = 15,
Solution; B ( 15, 33 )
To determine the slope of this we could take the formula ( y2 - y1 )/ ( x2 - x1 ) for the two points we have derived or, for simplicity, take a look at the format of the equation;
y - 2x = 3 ⇒ Convert to point slope form, in format y = ax + b, where a ⇒ slope, and b ⇒ y - intercept
y = 2x + 3, ⇒ Solution; Slope ⇒ 2
