Question

Write a linear equation from a slope and a point calculator.

A) y - y1 = m(x - x1)
B) y = mx + b
C) y = x + b
D) y = mx² + b

Answer 1

To write a linear equation from a slope and a point, use the formula y - y1 = m(x - x1). Substitute the given slope and point into this equation to find the linear equation. B) y = mx + b is correct answer.

Step-by-step explanation:

The student has asked how to write a linear equation given a slope and a point. We use the equation y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point.

When you know the slope (m) and a specific point on the line (x1, y1), you substitute these values into the equation to create the equation of the line.

For example, if the slope is 3 and the point given is (2, 9), then the equation would be y - 9 = 3(x - 2). This can also be transformed into the slope-intercept form of a line, which is y = mx + b.

In this form, m represents the slope and b represents the y-intercept, which is the y-coordinate of the point where the line crosses the y-axis.