Write an equation of the line with the given properties. Your answer should be written in standard form.
m = 0 passing through P(−9, −3)
please help
a line with slope=0 is just y=k
So, this line is y = -3
can you help with one more all night i been working on these and not great at this yet Write an equation of the line with the given properties. Your answer should be written in standard form.
m is undefined passing through P(−7, −9)
a line with an undefined slope is a vertical line, x = k
So, your line here is x = -7
To find the equation of a line in standard form, we need to use the point-slope form of a line and then convert it to standard form.
The point-slope form of a line is given by the equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line, and m is the slope of the line.
In this case, the slope (m) is given as 0, and the point (x1, y1) is (-9, -3).
Plugging these values into the point-slope form, we get:
y - (-3) = 0(x - (-9))
Simplifying this equation, we have:
y + 3 = 0(x + 9)
y + 3 = 0
Subtracting 3 from both sides, we obtain:
y = -3
Now, to write the equation in standard form, we rearrange the equation to have the variables on one side and constant on the other side. Thus, we can rewrite y = -3 as:
0x + 1y = -3
Multiplying through by 10 to remove any fractional coefficients (optional), the equation becomes:
0x + 10y = -30
Hence, the equation of the line in standard form is 0x + 10y = -30.