Answer:
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