Question

A line with a slope of 1 passes through the point (18, 15). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.​

Answer 1

y = x - 13

Explanation:

Given parameters:

Slope of the line = 1

Coordinate = (18, 15)

Unknown:

Equation of the line in slope-intercept format = ?

Solution:

The equation of a line is expressed as;

y = mx + c

where y and x are the coordinates

m is the slope

c is the y-intercept

Now, sine x = 18 and y = 5, let us find c;

5 = 1(18) + c

5 = 18 + c

c = -13;

The equation of the line is;

y = 1(x) + (-13)

y = x - 13