Find the equation of the line that
1 answer:
Answer:
Step-by-step explanation:
There is a difference in the two questions, but the result is found the same way
line is in the form y = mx + b
where m is the slope and b is the y intercept.
Perpendicular lines have negative reciprocal slopes
The desired line from the picture has a slope of 5
Now we plug in the included point
2 = 5(1) + b
b = -3
y = 5x - 3
The desired line from the write up has a slope of 1
Now we plug in the included point
2 = (1) + b
b = 1
y = x + 1
You might be interested in
Answer:
The Slope Intercept form of the equation through the point (0, -4) and
(1, 0) is y = 4 x - 1
Step-by-step explanation:
Here, the given points are A (0,-4) and B(1,0)
Now, slope of the equation with points (a,b) and (c,d) is given as
So, here the slope of the line AB is given as:
⇒ m = 4
Now, by POINT SLOPE form:
The equation with slope m and point (x0 , y0) is represented as :
(y-y0) = m (x-x0)
⇒ The equation of AB is of the form with point (1,0) is
y - 0 = 4 (x -1)
or, y = 4 x - 1
Also, the SLOPE INTERCEPT form of an equation is of the form
y = m x + C ; m = slope and C = y -intercept
Hence, the slope intercept form of the equation through the point (0, -4) and (1, 0) is y = 4 x - 1