Question

Vera wants to graph a line that passes through (0,2) and has a slope of 2/3 which points could Vera use to graph a line check all that apply

Answer 1

The line Vera is graphing has a slope of $\frac{2}{3}$ and passes through the point (0,2) that is m=$\frac{2}{3}$ and b=2.

The equation of the line is

$y=\frac{2}{3}x+2$

To find the points which will lie of the given line we substitute the x and y values in the equation.If both sides are equal then the point lies on the line.

1)(-3,0)

Substituting the values we have :

$0=\frac{2}{3}(-3)+2.$

0=-2+2

0=0

Point (-3,0) lies on the line.

2)(-2,-3)

Substituting the values :

$-3=\frac{2}{3}(-2)+2$

-3≠$\frac{2}{3}$

Point(-2,-3) does not lie on the line.

3)(2,5)

$5=\frac{2}{3}(2)+2\\ 5\neq 3$

Point (2,5) does not lie on the line.

4)(3,4)

$4=\frac{2}{3}(3)+2\\ 4=4$

Point (3.4) lie on the line.

5)(6,6)

$6=\frac{2}{3}(6)+2$

6=6

Point (6,6)  lie on the line

The points that will lie on the line are (-3,0)  (3,4)and (6,6)

Answer 2

The answer to the question