Graph the line with slope 2. passing through the point (-3, 3). 3 1 ? 13
1 answer:
The graph of the line with the given slope that passes through (-3, 3) is shown in the image attached below.
<h3>What is the Equation of a Line in Slope-intercept Form?</h3>The equation in slope-intercept form of a line, is y = mx + b, where:
b = y-intercept
m = slope = change in y/change in x.
Given a line with slope = 2 and passes through (-3, 3), plug in m = 2 and (a, b) = (-3, 3) into y - b = m(x - a) to write the equation of the line
y - 3 = 2(x - (-3))
Rewrite in slope-intercept form
y - 3 = 2x + 6
y = 2x + 6 - 3
y = 2x + 3
Therefore, the graph of the line with the given slope that passes through (-3, 3) is shown in the image attached below.
Learn more about slope-intercept form on:
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g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).
Which means that our equation for f(x) is:
Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.
Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.
Answer
- g(x) = x+4
- Therefore the value of k is 4.
Answer:
Area of first shape is 288, area of second shape is 45
, area of third shape is 34
.
Step-by-step explanation:
Area of first shape
A=bh
A=18*16
A=288
Second shape
A=bh
A=9*5
A=45
Third shape
A= 1/2 h(b1+b2)
A=1/24(12+5)
A=1/2*4(12+5)
A=1/2*4(17)
A=1/2*68
A=34