Question

Use the standard form calculator to find the equation of a line with a given point and slope.

A) y−y1 =m(x−x 1)
B) y=mx+b
C) ax+by=c
D) y=a(x−h)+k

Answer 1

B is the correct formula

Answer 2

To find the equation of a line with a slope of 3 and a y-intercept of 9, we use the slope-intercept form y = mx + b. By substituting the given values, the equation is y = 3x + 9.

Step-by-step explanation:

The task is to find the equation of a line given a point and a slope using the standard form calculator. There are multiple ways to express the equation of a straight line. One common form is the slope-intercept form, represented as y = mx + b, where 'm' is the slope, and 'b' is the y-intercept. The slope is defined as the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line, and the y-intercept is the point where the line crosses the y-axis.

Given that the slope (m) is 3 and the y-intercept (b) is 9, we can directly substitute these values into the slope-intercept form to get the equation of the line. Therefore, the equation is y = 3x + 9. This equation indicates that for every one unit the x-coordinate increases, the y-coordinate increases by three units, and the line crosses the y-axis at 9.