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irinina [24]
3 years ago
8

Write the equation of the line that passes through (3, 4) and (2, –1) in slope-intercept form.

Mathematics
1 answer:
matrenka [14]3 years ago
5 0
1) slope is 6 and y-intercept is ( 0,5)    y = mx + b, m = 6, b = 5    y = 6x + 5 2)line passes through the points ( 3,6) and ( 6,3 )   First find the slope:  m = (3-6)/(6-3) = -3/3 = -1   y = -x + b   Plug in one of the given points (x,y) and find b   6 = -3 + b   9 = b  <span> y = -x + 9</span> a horizontal line that passes through the point ( -1,7)Horizontal lines have a constant y-value and formaty = c  where c is a constant number. y = 7 y=-3x+3x intercept:  set y = 0 and solve for x0 = -3x + 33x = 3x = 1x-intercept: (1, 0) y-intercept:  set x = 0 and solve for yy = -3(0) + 3y = 3y-intercept: (0,3) y=0,5x-1Is this two equations? The line y=0 has y-intercept at (0,0)The x-intercept is the entire x-axis y=5x-1x -intercept:  Set y = 0 and solve for x y-intercept: Set x = 0 and solve for y 
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7 0
2 years ago
Through:(-1, -2), slope = 5
kherson [118]

Answer:

y=5x+3

Step-by-step explanation:

Hi there!

We're given the point (-1, -2) and a slope of 5. We need to find the equation of the line in slope intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

Since we're already given the slope, we can substitute that immediately into the equation

here it is so far:

y=5x+b

now we need to solve for b

Since the line will pass through the point (-1,-2), we can use it to solve for b

substitute -1 as x and -2 as y into the equation

-2=5(-1)+b

multiply

-2=-5+b

add 5 to both sides

3=b

substitute that into the equation

therefore, the equation of the line is <u>y=5x+3</u>

Hope this helps! :)

6 0
3 years ago
PLEASE HELP!!!! 20 POINTS!!!
Vlad1618 [11]
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6 0
3 years ago
2x3 + 5x2 + 6x + 15
iren [92.7K]

Answer:

C

Step-by-step explanation:

Distribute x^2 to 2x and 5, you’ll get 2x^3+5x^2.

The distribute 3 to 2x and 5, you’ll get 6x+15.

You’ll get what the question is asking for.

7 0
3 years ago
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