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2 years ago

What is (-4, 6) and (0, 7) in slope intercept form? :) thank you

Mathematics

1 answer:

gavmur [86]2 years ago

6 0

Answer:

y = 1/4x + 7

Step-by-step explanation:

(-4, 6) and (0, 7)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(7 - 6) / (0 - (-4))

Simplify the parentheses.

= (1) / (0 + 4)

= (1) / (4)

Simplify the fraction.

= 1/4

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 1/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (0, 7). Plug in the x and y values into the x and y of the standard equation.

7 = 1/4(0) + b

To find b, multiply the slope and the input of x(0)

7 = 0 + b

Now, isolate b.

7 = b

Plug this into your standard equation.

y = 1/4x + 7

This is your equation.

Check this by plugging in the other point you have not checked yet (-4, 6).

y = 1/4x + 7

6 = 1/4(-4) + 7

6 = -1 + 7

6 = 6

Your equation is correct.

Hope this helps!

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