Ok. So first, we calculate the slope!
m=(y2-y1)÷(x2-x1)= (5-2)÷(3-1)=3/2.
Now that we have the slope, we can start to write an equation for the line by plugging in the given points. b is the y-intercept.
y=mx+b.
2=(3/2)1+b
b=2-(3/2)=2-1.5=.5 or 1/2
so the y-int is (0,.5 or 1/2) .
Next, we have to find the x-int.
to do that, we just plug in 0 for the y.
0=1.5x+.5
x=-.5/1.5= (1/3)
so the x-intercept is
(1/3 or .33,0).
Answer:
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answer:
y = 2x - 5
work:
to write equations, we use the format y = mx + b.
m stands for the slope, and b stands for the y intercept.
this means that you should be able to enter the values for y and x and get a valid equation as a result.
in this equation, we are not given a y intercept value, but we do have a slope and x and y values, so we have to solve by substituting.
so, let's substitute in the values of y and x and the slope,
and solve for b, the y intercept.
1 = 2(3) + b (multiply 2 x 3)
1 = 6 + b (subtract 6 from both sides)
- 5 = b
b has a value of -5. let's place this into the equation.
y = 2x - 5.
the slope is 2, and the y intercept is -5, let's plug in our y and x values to verify that this is true.
1 = 2(3) - 5
1 = 6 - 5
1 = 1
so, this equation is correct. hope this helps and have a great day!
Answer:
x is less than or equal to 2 (x_<2)
Step-by-step explanation:
solved the equation
