Answer:
The graph is attached.
Step-by-step explanation:
We start by plotting the point of the y-intercept. The graph passes through (0, -2); this is on the y-axis, so this is the y-intercept.
From here we use the slope to find the next point. Slope is rise/run. Since our slope is -2/3, this means from our y-intercept, we go down 2 and over to the right 3 and plot our next point. We then draw a line between the two points.
Answer:
y = -(5/2)x -2
Explanation:
The general formula for a straight line is y – mx + b.
The image below shows the graph of the line.
Step 1. <em>Calculate the slope</em>.
Slope = m = Δy/Δx = (y₂-y₁)/(x₂-x₁)
x₁ = 0; y₁ = -2
x₂ = -2; y₂ = 3 Calculate m
m = [3-(-2)]/(-2-0)
m = (3+2)/(-2)
m = 5/(-2)
m = -5/2
Step 2. <em>Calculate the y-intercept </em>
When x = 0, y = 2.
The y-intercept (b) is at y = -2
Step 3. <em>Write the equation </em>for the graph
y = mx + b
y = -(5/2)x - 2
The solutions are .
Solution:
Given equation:
Add on both sides.
-------- (1)
(given) -------- (2)
Equate (1) and (2).
Add on both sides.
Add 5 on both sides.
Divide by 5 on both sides, we get
Taking square root on both sides, we get
Substitute in (1).
Substitute in (1).
Therefore the solutions are .
Option C is the correct answer.