Question

Use the information given to write an equation in standard form.

Slope is 3, and (1, 4) is on the line.

Answer 1

To write the equation in standard form, substitute the slope and point into the point-slope form of a linear equation and then rearrange the terms to get the equation in standard form, Ax + By = C.

Step-by-step explanation:

To write an equation in standard form using the given information, we can use the point-slope form of a linear equation: y - y1 = m(x - x1). First, substitute the slope (m = 3) and the coordinates of the point (x1 = 1, y1 = 4) into the equation. This gives us y - 4 = 3(x - 1).

Next, distribute the 3 on the right side of the equation, resulting in y - 4 = 3x - 3. Finally, move all the terms to one side of the equation to write it in standard form, Ax + By = C. Rearrange the equation to get 3x - y = -1 as the equation in standard form.