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

2 answers:

Mnenie [13.5K]3 years ago

6 0

Answer:

y = one-third x + 3

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step 1: Find slope m

m = (4 - 1)/(3 + 6)

m = 3/9

m = 1/3

y = 1/3x + b

Step 2: Find b

4 = 1/3(3) + b

4 = 1 + b

b = 3

Step 3: Rewrite

y = 1/3x + 3

zalisa [80]3 years ago

6 0

Answer:

y = one-third x + 3

Step-by-step explanation:

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Hey can you please help me posted picture of question :)

otez555 [7]

Answer:
The solutions are -3 and -6

Explanation:
First we would need to put the equation in standard form which is:
ax² + bx + c = 0
This can be done as follows:
x² + 18 = -9x
x² + 9x + 18 = 0
By comparison, we would find that:
a = 1
b = 9
c = 18

Now, to get the roots, we would use the quadratic formula shown in the attached image.

By substitution, we would find that:
either x = $\frac{-9+ \sqrt{(9)^2-4(1)(18)} }{2(1)} = -3$

or x = $\frac{-9- \sqrt{(9)^2-4(1)(18)} }{2(1)} = -6$

Hope this helps :)