Write the pointslope form of the line satisfying the given c

Write the point-slope form of the line satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation. Passing through (7,14) and (9,18)

Solution

If we have two points A(x1, y1) and B(x2, y2)

Slope is given by:

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

using the given points

Slope = (18 - 14)/(9 - 7)

slope = 2

Standard line of equation:

point slope form:

(y - y1) = m*(x - x1)

(y - 14) = 2*(x - 7)

Slope-intercept form:

y = mx + c

Now

y - 14 = 2x - 14

y = 2x