Respuesta :

Answer:

[tex] m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

And replacing we got:

[tex] m =\frac{-3 -3}{-5 +3}= 3[/tex]

Now we can find the intercept using the following general formula:

[tex] y = mx +b[/tex]

And using one of the points we can solve for b and we got:

[tex] 3 = 3*(-3) +b[/tex]

[tex] b = 3 +9 =12[/tex]

And for this case the line cross the y axis since represent the y intercept.

So then the point where the line q cross the y-axis is (0,12)

Step-by-step explanation:

We have two points given :

[tex] (x_1= -3, y_1 = 3)[/tex]

[tex] (x_2= -5, y_2 = -3)[/tex]

We can find the slope of the line like this:

[tex] m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

And replacing we got:

[tex] m =\frac{-3 -3}{-5 +3}= 3[/tex]

Now we can find the intercept using the following general formula:

[tex] y = mx +b[/tex]

And using one of the points we can solve for b and we got:

[tex] 3 = 3*(-3) +b[/tex]

[tex] b = 3 +9 =12[/tex]

And for this case the line cross the y axis since represent the y intercept.

So then the point where the line q cross the y-axis is (0,12)

Answer:

Step-by-step explanation:

Given that;

[tex]x_1= -3,\\ y_1 = 3, x_2= -5,\\ y_2 = -3[/tex]

slope of the line is

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

[tex]m =\frac{-3 -3}{-5 +3}\\\\=\frac{-6}{-2} \\\\= 3[/tex]

To find the intercept we use the  formula:

y = mx +b

y = 3

m = 3

x = -3

we can solve for b

[tex]3 = 3\times(-3) +b\\3=-9+b b = 3 +9 =12[/tex]

Therefore, the point where the line q cross the y-axis is (0,12)