What is the solution to the system of equations graphed below?
2 answers:
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Answer:
y = 2x + 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 6, - 3) and (x₂, y₂ ) = (0, 9)
m = =
= 2
The line crosses the y- axis at (0, 9) ⇒ b = 9
y = 2x + 9 ← equation of line
Answer:
a) the gradient of the linear graph is:
b) the y-intercept of linear graph is -1
Step-by-step explanation:
a) Find the gradient of the linear graph.
The formula used to find gradient is same as slope
Take any 2 points from the graph.
I will take: (-3,0) and (0,-1)
Putting values in formula and finding gradient
So, the gradient of the linear graph is:
b) Find the y-intercept of linear graph
The y-intercept of linear graph is the value of y at the point where the line crosses the y axis.
So, in the given graph, that point is -1
So, the y-intercept of linear graph is -1