write the slope intercept equation for the line containing the given pair of points (6,8) and (3,5) please help I have been working on this for three day's
Here is a way to approach your problem:
"m" represents slope and "b" the y-intercept.
m = (y2 - y1)/(x2 - x1)
m = (5 - 8)/(3 - 6)
m = -3/-3 = 1
Now, let's try to find "b" using the first ordered pair (6,8):
(y - 8)/(x - 6) = 1
y - 8 = x - 6 -->multiplying both sides by (x - 6) to get rid of the denominator
y = x + 2 -->adding 8 to both sides of the equation (whatever operation you do to one side of the equation you must do to the other side as well)
Now you have the above equation in the slope/intercept form: y = mx + b
You can test this by substituting the values for x and solving for y, using the ordered pairs given.
I hope this will help.
Thank you
To find the slope-intercept equation for a line, you need two pieces of information: the slope of the line and the y-intercept.
To find the slope, you can use the formula:
slope = (change in y) / (change in x)
First, identify the coordinates of the given points: (6,8) and (3,5).
Now, calculate the change in y by subtracting the y-coordinates:
change in y = 8 - 5 = 3
Next, calculate the change in x by subtracting the x-coordinates:
change in x = 6 - 3 = 3
Now, you have the values for the change in y and change in x. Plug them into the slope formula:
slope = (change in y) / (change in x) = 3 / 3 = 1
The slope of the line passing through the given points is 1.
To find the y-intercept, you can use the point-slope form of a line:
y - y₁ = m(x - x₁)
Where (x₁, y₁) is the coordinates of one of the given points and m is the slope.
Let's choose the point (6,8) to substitute into the point-slope form:
y - 8 = 1(x - 6)
Simplifying this equation:
y - 8 = x - 6
Now, let's rearrange the equation to the slope-intercept form (y = mx + b), where b represents the y-intercept:
y - 8 = x - 6
y = x - 6 + 8
y = x + 2
Therefore, the slope-intercept equation for the line passing through the points (6,8) and (3,5) is y = x + 2.