Respuesta :
y=-3/4.5-3. You can get this by plotting the points on a graph and using the rise(how far up it goes) over run(how far right) to find the Slope, then plugging in the Y-intercept.
Hey there!!
In the given question, we can find two co-ordinates :
Y - intercept = ( 0 , - 3 )
X - intercept = ( -4.5 , 0 )
Hence, two co-ordinates are ( 0 , -3 ) and ( -4.5 , 0 )
How do we find slope?
[tex]\frac{y2 - y1}{x2 - x1}[/tex]
Now, plug in the values...
[tex]\frac{0 - (-3)}{-4.5 - 0 }[/tex]
[tex]\frac{3}{-4.5}[/tex]
[tex]\frac{3}{\frac{45}{10} }[/tex]
[tex]3 * \frac{10}{45}[/tex]
[tex]\frac{10}{15}[/tex] = [tex]\frac{2}{3}[/tex]
Now, we found out the slope, which is [tex]\frac{2}{3}[/tex]
What is slope-intercept form ?
Form :- y = mx + b
Where b is the y-intercept and m is the slope..
Plug in the values we have found out :
[tex]y = \frac{2x}{3} - 3[/tex] is the final equation...
Hope my answer helps!!