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

this question is given using the conditional form. conditional tenses are is used when talking about hypothetical situations and probabilities. also, this is used when making polite requests. so comprarías is the conjugation of the verb comprar that matches the second person singular in the conditional. finally:

¿cuál comprarías tú?