Write the equation of the line, in slope-intercept form, through the following points: -5,4 and -4,7

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

To find the slope(m), use the slope formula:

   And plug in the two points on the line

(-5, 4) = (x₁, y₁)

(-4, 7) = (x₂, y₂)

(two negative signs cancel each other out and become positive)

m = 3       Now that you know the slope, substitute/plug it into the equation:

y = mx + b

y = 3x + b    To find b, plug in either of the points into the equation, it doesn't matter which, then isolate/get the variable "b" by itself. I will use (-5, 4)

4 = 3(-5) + b

4 = -15 + b     Add 15 on both sides to get "b" by itself

4 + 15 = -15 + 15 + b

19 = b

y = 3x + 19

x is greater than 5

step-by-step explanation:

2x+7 is greater than 17

    -7                           -7

2x is greater than 10

divide by 2 each side

x is greater than 5

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is