Question

write one way or representing the equation of the given line in point-slope form. then write the equation in slope-intercept form. (0,-3) (7,4)

Answer 1

y = x - 3

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept → (0, b)

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

We have the points (7, 4) and (0, -3) → b = -3.

Substitute to the formula of a slope:

`m=(-3-4)/(0-7)=(-7)/(-7)=1`

Finally we have the equation:

`y=1x-3`