How do you write an equation in standard form for a line which passes through (2, 3) and (1, 0)?

Question

Hazel Anglin · Accepted Answer

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To write an equation in standard form, we need to know the slope and the y-intercept of the equation. To find the slope, we divide the difference of the 2 y-coordinates (3 and 0) by the difference of the x-coordinates (2 and 1). #(3-0)/(2-1)=3# The slope is 3 To find the y-intercept, we would plug in one of the coordinate pairs. #y=3x+b rarr# This is our current equation, where 3 is the slope and b represents the unknown y-intercept. #3=3*2+b rarr# Plug in the points, then solve for b #3=6+b# #b=-3# Now, substitute -3 in for b. #y=3x-3# is your equation

Ethan Adkins · Answer

undefined To write an equation in standard form for a line passing through two points, you can use the point-slope form of a linear equation: $ y - y_1 = m(x - x_1) $, where $ m $ is the slope and $ (x_1, y_1) $ is one of the given points. First, calculate the slope using the formula: $ m = \frac{{y_2 - y_1}}{{x_2 - x_1}} $ with the given points $(x_1, y_1)$ and $(x_2, y_2)$. Then, plug the slope and one of the points into the point-slope form to find the equation. Finally, rearrange the equation into standard form: $ Ax + By = C $.