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