Write an equation in slope intercept form when given two pieces of key information about the line
Goes through the points (-3,2) and (8,2)
To find the equation of a line in slope-intercept form, we need the slope and the y-intercept.
To find the slope, we use the formula:
slope = (change in y)/(change in x)
The two points given are (-3,2) and (8,2). The y-coordinate remains the same for both points, meaning there is no change in y. Therefore, the change in y is 2 - 2 = 0.
The x-coordinate changes from -3 to 8, so the change in x is 8 - (-3) = 8 + 3 = 11.
Using the formula slope = (change in y)/(change in x), we have:
slope = 0/11 = 0
Now that we have the slope, we can use one of the points, say (-3,2), to find the y-intercept.
The slope-intercept form of a line is y = mx + b, where m represents the slope and b represents the y-intercept. We substitute the values we have:
2 = 0(-3) + b
2 = 0 + b
2 = b
Therefore, the y-intercept is b = 2.
Now we can write the equation in slope-intercept form:
y = mx + b
Substituting the slope and y-intercept:
y = 0x + 2
Simplifying, we get:
y = 2
So, the equation of the line in slope-intercept form is y = 2.