What is the equation of a line that passes through the points 0,5 and 4,8 in slope intercept form

y = (3/4)x + 5

Using the two coordinates, you can find slope and y-intercept

y-intercept is 5, from the point (0,5)

slope is 3/4, from rise/run, and that 0 to 4 is 4, while 5 to 8 is 3.

Combine slope and y-intercept for slope intercept form

y = (3/4)x + 5

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,