Question

Write the​ point-slope form of the​ line's equation satisfying the given conditions. Then use the​ point-slope form of the equation to write the​ slope-intercept form of the equation.

Slope=4, passing through (5,7)

What is the point-slope form of the equation of the line?

What is the slope-intercept form of the equation of the line?

Answer 1

The point slope form of line equation : 

y - y1   =   m (x - x1)

Substitute the point (x1, y1) = (5, 7) and the slope m = 4 in above equation.

y - 7   =    4(x - 5)

y - 7   =   4x - 20

4x - 20 - y + 7   =   0 

4x - y - 13   =   0

4x - y   =   13