what is the of the line that passes through the points (-2,1) and (4,5) in the cartesian coordinate plane?
(-2,1) and (4,5)....let's get the slope, first
First, subtract the y coordinates in any order [ 5 - 1] = 4
Next, subtract the x coordinates in the same order [4 - (-2)] = [4 + 2] = 6
Put the first thing over the second → 4/6 = 2/3 and this is the slope
Now....just choose one point [I'll use (4,5)] and set up the following "formula".....
y - [y coordinate of our point] - (slope)* [ x - ( the x coordinate of our point)]
Let's fill in the "blanks"
y - 5 = (2/3)(x - 4) add 5 to both sides
y = (2/3)(x - 4) + 5 and this is the equation of the line in "slope-intercept" form
Here's the graph...... https://www.desmos.com/calculator/rc6dclpaqg
(-2,1) and (4,5)....let's get the slope, first
First, subtract the y coordinates in any order [ 5 - 1] = 4
Next, subtract the x coordinates in the same order [4 - (-2)] = [4 + 2] = 6
Put the first thing over the second → 4/6 = 2/3 and this is the slope
Now....just choose one point [I'll use (4,5)] and set up the following "formula".....
y - [y coordinate of our point] - (slope)* [ x - ( the x coordinate of our point)]
Let's fill in the "blanks"
y - 5 = (2/3)(x - 4) add 5 to both sides
y = (2/3)(x - 4) + 5 and this is the equation of the line in "slope-intercept" form
Here's the graph...... https://www.desmos.com/calculator/rc6dclpaqg