Question

will mark brainliest (simple algebra)



Write an equation and graph the line given the point: (-4, -6) and slope: 5

Answer 1

Answer:

x   = 7

Step-by-step explanation:

given equation is :

14x-49 = x²

adding -x² to both sides of equation,we get

-x²+14x-49   = -x²+x²

-x²+14x+49   = 0

take -1 as common

-1(x²-14x-49)   = 0

now multiplying above equation to -1, we get

x²-14x-49   = 0

now, above equation is in general equation.

split the middle term of above equation so that the product of two terms should be 49 and sum be -14.

x²-7x-7x-49   = 0

make two groups

x(x-7)-7(x-7)   = 0

take (x-7) as common

(x-7)(x-7)   = 0

now applying zero-product property to above equation,we get

x-7   = 0 or x-7   = 0

as both are same ,hence

x-7   = 0

adding 7 to both sides of above equation,we get

x-7+7   = 0+7

x+0   = 7

x   = 7 which is the answer... BTW I did all of that just to be brainliest ;D

Answer 2

Answer:

m = 5

x = -4

y = -6

y = mx + b

-6 = 5(-4) + b

-6 = -20 + b

+20  +20

14 = b

y = 5x + 14

Step-by-step explanation:

1. identify your ordered pair and slope
2. write down the slope-intercept form formula
3. replace x, y, and m with their values
4. multiply m-value with the value of x
5. add 20 to both sides
6. after solving for b, write down the slope-intercept form formula replacing b with what you got.
7. when you are graphing, you will start at 14 on the y-axis because b is the starting point.
8. then you count up 5 times, and 1 on the right side of the x-axis. you can also do the opposite.