What is the equation in the slope intercept form for the line that passes through the points (1,-3) and (3,1)?
Y=3x+1
Y=x-3
Y=2x+5
Y=2x-5
Put in x in one of the points, and see what the y computes to be.
I don't understand
slope = (-3-1)/(1-3) = 2
so it has to be one of the last two of your choices
sub in (1,3) into y = 2x+5 ---> doesn't work
sub in (1,3) into y = 2x - 5 ----> Yeahhh!
so y = 2x-5
that is what bob had suggested to you, that is, try the points in the equations.
To find the equation in slope-intercept form for the line passing through the points (1,-3) and (3,1), we can follow these steps:
Step 1: Determine the slope (m) of the line using the formula:
m = (y2 - y1) / (x2 - x1)
In this case, we have (x1, y1) = (1,-3) and (x2, y2) = (3,1), so substituting the values into the formula, we get:
m = (1 - (-3)) / (3 - 1)
m = 4 / 2
m = 2
Step 2: Use the slope (m) and one of the points (x1, y1) to determine the y-intercept (b) using the formula:
b = y1 - m * x1
Using the point (1, -3), we can substitute the values into the formula:
b = -3 - 2 * 1
b = -3 - 2
b = -5
Step 3: Now we can write the equation in slope-intercept form (y = mx + b) using the values we found in steps 1 and 2.
y = 2x - 5
Therefore, the equation in slope-intercept form for the line passing through the points (1,-3) and (3,1) is y = 2x - 5.