Final answer:
To calculate the equation of a line in slope-intercept form given two points, you find the slope using the slope formula, then use the point-slope formula to find the y-intercept, and write the equation in the form y = mx + b.
The Correct Option is; c) Use the point-slope formula.
Step-by-step explanation:
To calculate the equation of a line in slope-intercept form given two points, you would use the slope formula and the point-slope formula. The slope, represented by b in the equation y = a + bx (or m in y = mx + b), is the change in y divided by the change in x between the two points given. To begin, you'll need to find the slope using the given points.
- Select two points on the line, such as point 1, (X1, Y1), and point 2, (X2, Y2).
- Substitute these values into the slope formula: slope (b) = (Y2 - Y1) / (X2 - X1).
With the slope determined, you can then use either of the two points and the slope to write the equation in point-slope form, y - Y1 = m(x - X1), and then rearrange to slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
By substituting the x and y values of one of your points into this equation and solving for b, you will find the value of the y-intercept. Lastly, incorporate the slope and y-intercept into the slope-intercept equation to express the equation of the line.