Write an equation in slipe intercept form, of a line that passes through(1,4) and(3,10)

Answer 1

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

To find the slope (m), we can use the formula:

m = (y2 - y1) / (x2 - x1)

Given the points (1,4) and (3,10), we can substitute the coordinates into the formula:

m = (10 - 4) / (3 - 1)
m = 6 / 2
m = 3

Now that we have the slope (m), we can substitute it into the slope-intercept form equation along with one of the given points to solve for the y-intercept (b).

Let's use the point (1,4):

4 = 3(1) + b
4 = 3 + b
4 - 3 = b
b = 1

Therefore, the equation of the line in slope-intercept form that passes through the points (1,4) and (3,10) is:

y = 3x + 1