Question

A line that includes the point (10,5)and has a slope of 1.What is its equation in slope intercept form?

Answer 1

The line equation is y = x - 5

EXPLANATION

Given:

Point (10, 5)

x=10 and y=5

slope (m)=1

We need to first find the intercept(b).

Substitute x=10 , y=5 and m=1 into y=mx + b and solve for intercept(b).

That is;

5 = 1(10) + b

5 = 10 + b

5 - 10 = b

-5 = b

Form the equation by substituting m=1 and b=-5.

Hence, the line equation is y = x - 5