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Mademuasel [1]
3 years ago
10

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 <em>m</em>

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

m = 3/9

m = 1/3

y = 1/3x + b

Step 2: Find <em>b</em>

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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What is the equation of the line with a slope of 3/4 that goes through the point (4, 1) in slope-intercept form?
Svetach [21]

Answer:

y=\frac{3}{4}x+-2

Step-by-step explanation:

We do not have enough information for slope intercept form. But we can use the point-slope formula to find the information. The formula is y -y_{1} =m(x -x_{1}) where we substitute a point (x,y) for (x_{1},y_{1}).  

We have m=3/4 and (4, 1). We input m and x_{1} =4\\y_{1}=1.

y-1=\frac{3}{4} (x-4)

We now simplify the parenthesis and solve for y.

y-1=\frac{3}{4} (x-4)\\y-1=\frac{3}{4}x+\frac{3}{4} (-4)

We convert -4 into a fraction with 1 as the denominator.

y-1=\frac{3}{4}x+\frac{3}{4} (\frac{-4}{1} )\\y-1=\frac{3}{4}x+\frac{-12}{4}\\y-1=\frac{3}{4}x+-3

We add 1 to both sides to isolate y,

y-1+1=\frac{3}{4}x+-3+1\\y=\frac{3}{4}x+-2

This is slope intercept form. The line as slope 3/4 and y-intercept (0,2) or b=2.

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3 years ago
A hula hoop has an circumference 150.72 cm. What is the area of the hula hoop? (round to the nearest hundredth)
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Area = 1808.64 cm

Step-by-step explanation:

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Radius = 24

Area of a circle = πr²

Area = 3.14 x 24²

Area = 3.14 x 576

Area =1808.64 cm

6 0
2 years ago
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