What is equation in point slope form of the parallel to y=4x+14 and through the point (-4,-7)?

Slope = 8.000/2.000 = 4.000

x-intercept = 14/-4 = 7/-2 = -3.50000

y-intercept = 14/1 = 14.00000

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-(4*x+14)=0

STEP

1

:

Equation of a Straight Line

1.1 Solve y-4x-14 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-4x-14 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 14/1 so this line "cuts" the y axis at y=14.00000

y-intercept = 14/1 = 14.00000

Calculate the X-Intercept :

When y = 0 the value of x is 7/-2 Our line therefore "cuts" the x axis at x=-3.50000

x-intercept = 14/-4 = 7/-2 = -3.50000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 14.000 and for x=2.000, the value of y is 22.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 22.000 - 14.000 = 8.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 8.000/2.000 = 4.000

Geometric figure: Straight Line

Slope = 8.000/2.000 = 4.000

x-intercept = 14/-4 = 7/-2 = -3.50000

y-intercept = 14/1 = 14.00000

answer: f = 32.2m

step-by-step explanation: that is the answer

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.