Line Equation-Slope-Distance-Midpoint-Y intercept Calculator

Enter 2 points below or 1 point and the slope of the line equation and press the appropriate button

Point 1: (x1 = , y1 = ) Slope:

Point 2: (x2 = , y2 = ) b:


Determine the line equation that has a slope of 4 containing the point (x1, y1) = (3, 2) and the point-slope form.

We know that the standard line equation is y = mx + b. Rearranging that equation to solve for b, we get b = y - mx. Using the point that you entered = (3, 2) and the slope (m) = 4 that you entered, let's plug in those values and evaluate:
b = 2 - (4 * 3)
b = 2 - 12
b = -10

Calculate the y intercept of our line equation
The y intercept is found by setting x = 0 in the line equation y = 4x - 10
y = 4(0) - 10
y = -10

Calculate the point-slope form using the formula below:
y - y1 = m(x - x1)
y - 2 = 4(x - 3)

Now that we have (m) and (b), we have the items we need for our standard line equation: