If a line contains the point (0, 1) and has a slope of 2, then which of the following points also lies on the line? (1,3) (3,1) (2,2) (2,3)

(1,3)

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form: where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis, or when x is equal to 0).

We're given that this line contains the point (0,1). This tells us that the y-intercept (b) of the line is 1.  We're also given that this line has a slope (m) of 2. Plug these values into :

Now, plug in all of the possible points to see which are solutions.

1) (1,3)

Because the left side of the equation is equal to the right, (1,3) also lies on this line.

2) (3,1)

Because the left side is not equal to the right, (3,1) does not lie on the line.

3) (2,2)

Because the left side is not equal to the right, (2,2) does not lie on the line.

4) (2,3)

Because the left side is not equal to the right, (2,3) does not lie on the line.

I hope this helps!

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation: