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. Slopeequals4​, passing through ​(6​,7​)

Answer 1

y - 7 = 4(x - 6)

y - 7 = 4x - 24

y = 4x - 24 + 7

y = 4x - 17

Answer 2

Explanation:

The point slope form is expressed as

y - y1 = m(x - x1)

Where

m represents slope of the line

y1 represents initial value of y

x1 represents initial value of x

The given line has a slope of 4 and passes through (6, 7)

y1 = 7

x1 = 6

Therefore, the equation becomes

y - 7 = 4(x - 6)

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c represents the y intercept.

From the point slope form,

y - 7 = 4x - 24

y = 4x - 24 + 7

y = 4x - 17