Respuesta :
Hi!
I'll be looking for point slope form, or y - [tex] y_{1} [/tex] = m (x - [tex] x_{1} [/tex]), with m being the slope, [tex] y_{1} [/tex] being the y coordinate of any given point on the line, and [tex] x_{1} [/tex] being the x coordinate of that same point.
So in this case, we're given the x coordinate of 7 and the y of -8, as well as a slope of 2/3. So if you substitute that in, you get:
y - (-8) = 2/3 (x - 7)
y + 8 = 2/3 (x - 7)
If you wanted to convert that to slope intercept form, just distribute the 2/3.
y + 8 = 2/3 (x - 7)
y + 8 = 2/3x - 14/3
y = 2/3x - 38/3
Now to standard form:
-2/3x + y = -38/3
Divide everything by -1
2/3x - y = 38/3
You can use any of those 3 solutions.
Hope this helped!
To begin, we should use our given information to write the equation of a line in point-slope form, y = m(x-h) + k, where the variable m represents the slope and the point (h,k) is on the line. Substitution of these values is modeled below:
y = m(x-h) + k
y = 2/3(x - 7) - 8
Next, we should use the distributive property to multiply the 2/3 by the values inside the parentheses. We should also convert the constant -8 into thirds for simpler computation.
y = 2/3x - 14/3 - 24/3
Finally, we should perform the subtraction of the constants.
y = 2/3x - 38/3
Therefore, your answer is y = 2/3x - 38/3.
Hope this helps!
