Answer:
=12
Step-by-step explanation:
7=3(0)-5
7=-5
7+5
=12
Im pretty sure this is the answer
Answer:
[tex]y=-\frac{1}{3}x+7[/tex]
Step-by-step explanation:
The slope-intercept form is: [tex]y=mx+b[/tex]; where m is the slope, and b is the y-axis interception.
So, the problem is asking for a line that it's perpendicular to [tex]y=3x-5[/tex]. This perpendicular relation means that the line we have to find have an inverse and opposite slope than the given line, that's expressed like this:
[tex]m_{1}m_{2}=-1[/tex]
That expression is the condition to have perpendicular lines. So, the given line has a slope of 3, now we can find the slope of the new line:
[tex]m_{1}m_{2}=-1\\m_{1}=\frac{-1}{m_{2}}=-\frac{1}{3}[/tex]
Now we have the slope of the new perpendicular line, we use the point-slope formula to find its equation:
[tex]y-y_{1}=m(x-x_{1})\\ y-7=-\frac{1}{3}(x-0)\\y=-\frac{1}{3}x+7[/tex]
Therefore, the slope-intercept form of the new perpendicular line is:
[tex]y=-\frac{1}{3}x+7[/tex]
