Find the slope intercept form for the equation of a line which passes through the point( 7, 4) and the origin

y = x

Explanation:

Slope-intercept form is y = mx + b

m is the slope (rise over run)

b is the y-intercept (where the line crosses the y-axis)

To get the slope, use the formula . It doesn't matter which set of coordinates is which pair.

(x₁,y₁) = (7,4)

(x₂,y₂) = (0,0)  a.k.a "the origin"

= your slope (m)

Now, to get to slope-intercept form, you have to plug what you know into point-slope form, y - y₁ = m(x - x₁).

y₁ = a point on the line

m = slope

x₁ = the matching coordinate to y₁

y - 4 = (x - 7)   Distribute

y - 4 =   Simplify

y - 4 =   Add 4 to both sides

y = x + 0 or y = x

Check your work by plugging in your given coordinates:

y = x

0 = (0)

0 = 0

and

y = x

4 = (7)

4 =

4 = 4