Question

Write the equation of the line in slope-intercept form.

Answer 1

y = -½x + 3

Explanation:

The equation of a line in slope-intercept form is

y = mx + c

where m is the gradient (slope) and c is the y-intercept

We can find the gradient and intercept from the two points on the diagram

The points are:

(0, 3) and (4, 1)

The y-intercept is when x = 0

we are already given this point so

c = 3

now we can use our other point to find m. So:

1 = 4m + 3

-2 = 4m

-½ = m

Now we can put both variables into our slope-intercept form

y = -½x + 3