Mathematics, 15.12.2020 02:20 Vishal123180

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

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Answer from: cheychey021203

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

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 from: Quest

I’m pretty sure it’s i think : /

Answer from: Quest

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743

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