The equation f(x)= 2/3 x + 1 is giving me some hard times can anyone help?

1 answer:

hjlf3 years ago

7 0

F(x) = 2/3x + 1

This is in the slope-intercept form of an equation for a line.
Which is written as this: (Note f(x)= is the same as saying y= in this case)

y = mx + b

M is our slope. Slope is the RISE over the RUN

In other words it is y/x
For this graph y represents distance, and x represents time. (Life Tip: TIME is almost ALWAYS the X value)

In this case M = 2/3

So her speed is:
2 units/3 units

B is the y-intercept. The y-intercept is where the X-value equals 0. So, (0,y). Because the y-intercept is distance she should have a y-intercept of 0. (The origin) because that would mean at the start of the race she had no distance (aka she was at the starting line).

Because her y-intercept (b) = 1 she did have a head start.

Here are both the answers at once to make it easier for you:
Speed (Replace Units with whatever units you were given. Distance Units go on top. Time units on bottom. Example: Meters/Second))
2 units/3 units

Did she have a head start? (Unit being whatever distance unit you were given)
Yes, 1 unit.

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If triangle MAS ≅ triangle TAR. Which of the statements could be false? A) segment MA ≅ segment TA Eliminate B) segment MA ≅ seg

BabaBlast [244]

If triangle MAS ≅ triangle TAR, the statement that could be false is letter <span>B) segment MA ≅ segment SA.

This can be false because these two congruent triangles can be 2 scalene triangles. So, segment M</span>A can never be equal to segment SA. This can be true though, if and only if these triangles are isosceles triangles where 2 sides are equal. (See attached file to fully understand).