Slope -6/7; through (3,5) Write the equation using function notation please help!!!!!!!!! :(
have you read the section on the point-slope form of a line? The equation is clearly
y-5 = -6/7 (x-3)
now massage that into whatever form you need.
Yes I have
To write the equation of a line using function notation, we need to use the point-slope form of a linear equation. The point-slope form is given by:
y - y1 = m(x - x1)
Where:
- (x1, y1) is a point on the line
- m is the slope of the line
In this case, the slope is -6/7 and the line passes through the point (3, 5). We can substitute these values into the point-slope form to find the equation. Let's do that step by step:
Step 1: Replace 'm' with the slope (-6/7):
y - y1 = (-6/7)(x - x1)
Step 2: Replace (x1, y1) with the coordinates of the given point (3, 5):
y - 5 = (-6/7)(x - 3)
Step 3: Simplify the equation:
y - 5 = (-6/7)x + 18/7
Step 4: Rearrange the equation to isolate 'y':
y = (-6/7)x + 18/7 + 5
y = (-6/7)x + (18/7 + 35/7)
y = (-6/7)x + 53/7
So, the equation of the line in function notation is:
f(x) = (-6/7)x + 53/7