Question

How do you write a linear equation given the slope and a point that is not the y-intercept? Answer Review: Key Concepts You can use slope-intercept form or point-slope form to write the equation for a linear relationship given the slope and one point on the line. Using slope-intercept form y = mx + b 1. known values for m, x, and y. 2. Solve for the value of b. 3. Write the slope-intercept form, substituting in values for m and b. Using point-slope form y − y1= m(x − x 1 ) 1. Substitute values for m, x 1 , and y 1 . 2. Distribute the through the parentheses. 3. for the y-variable. 2 ?

Answer 1

To write a linear equation with a known slope and point, use the point-slope form or the slope-intercept form, substitute the known values, and then solve for the y-intercept or rearrange the equation to its simplest form.

Step-by-step explanation:

To write a linear equation given the slope and a point that is not the y-intercept, you can follow these steps:

1. Use the point-slope form of the equation, which is y − y1 = m(x − x1), where m represents the slope and (x1, y1) represents the coordinates of the given point.
2. Substitute the given values into the equation. For example, if the slope is 3 and the point provided is (2, 5), your equation would start as y - 5 = 3(x - 2).
3. Simplify the equation if required. You can expand the right side to get y - 5 = 3x - 6, and then add 5 to both sides to isolate y resulting in y = 3x - 1.

If you prefer using the slope-intercept form, which is y = mx + b, and you know the slope (m) but not the y-intercept (b), you can substitute the x and y values of the given point into this formula and solve for b. After finding b, you can write the complete equation.