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3 years ago

Use slope-intercept form, y = mx + b to find the equation of the line that passes through the points (−6, 1) and (3, 4).

Mathematics

1 answer:

Nitella [24]3 years ago

4 0

Answer:

Step-by-step explanation:

To solve this problem, first, you have to use the slope formula of y₂-y₁/x₂-x₁=rise/run. Remember to solve this problem, use slope-intercept form of y=mx+b.

m represents the slope.

b represents the y-intercept.

Y₂=4

Y₁=1

X₂=3

X₁=(-6)

Solve & simplify.

$\displaystyle \mathsf{\frac{4-1}{3-(-6)}=\frac{3}{9}=\frac{3\div3}{9\div3}=\frac{1}{3} }}$

The slope is 1/3.

Y-intercept is 3.

y=1/3x+3

In conclusion, the correct answer is y=1/3x+3.

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Since the point isnt specified in the question, we could leave the equation like this.
But if there is a given point that B passes through, just plug in the x and y values into their respective places and solve to find c. That should give you the equation for b.
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In this simultaneous equation we see that y is equal to both the expressions. So,
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Now, since the value of c is not found, we cannot actually find the value of x, but if we would find c, we could also find x since it would only be a matter of rearranging the equation.
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