Answer:
Step-by-step explanation:
<u>The first equation:</u>
<u>The second equation:</u>
<u>Convert to slope-intercept form:</u>
<em>The graph is attached</em>
<u>Intersection point is (9, 7)</u>
Given:
The algebra tiles of an equation.
To find:
The equation represented by the given model.
Solution:
On the left side of the model we have 4 tiles of (-x) and 3 tiles of (-1). So,
On the right side of the model we have 8 tiles of (-1). So,
Now, equate the LHS and RHS to get the equation.
Therefore, the equation for the given model is .
Answer:
y = x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (0, 1)
m = =
Note the line crosses the y- axis at (0, 1) ⇒ c = 1
y = x + 1 ← equation of line