Question

Find an equation for the line that passes through the points (4.1, 3.2) and (2.3, 1.6)

Answer 1

To find the line's equation through two points, calculate the slope using the points given, then apply the point-slope form to get the slope-intercept form of the line's equation.

Step-by-step explanation:

To find an equation for the line that passes through the points (4.1, 3.2) and (2.3, 1.6), you first need to calculate the slope (m) of the line. This can be done using the slope formula:

m = (Y2 - Y1) / (X2 - X1)

Plugging in the values from the given points gives us:

m = (3.2 - 1.6) / (4.1 - 2.3) = 1.6 / 1.8 = 0.8889 (approx).

Now that we have the slope, we can use the point-slope form of a line equation, which is:

y - y1 = m(x - x1)

Using point (4.1, 3.2) and the calculated slope, we get:

y - 3.2 = 0.8889(x - 4.1)

This can be further simplified to obtain the equation of the line in slope-intercept form, y = mx + b:

y = 0.8889x - 1.4479

Answer 2

If this helps, the equation for slope is y2-y1/x2-x1 and to find the y intercept you use point slope.