All categories

3 years ago

The x intercept of a line is -5 and the y intercept of the line I’d -2.what is the equation of the line?

Mathematics

1 answer:

Ivan3 years ago

6 0

Hey!

There are two ways to solve this problem, I have showed you both of them below:

Method 1 -:

So we know that the x-intercept of the line is at (-5,0) and the y-intercept is at (0,-2). The most common form of the equation of a line is the slope-intercept form which is written as y=mx+b. In this equation, y and x are two points on the line, m is the slope and b is the y-intercept.

We are given the value of b which is -2. We also know two points on the line so we can find the slope. The formula for slope is (y2-y1)/(x2-x1). We can now plug in the points into the equation and get (0-(-2)/(-5-0). This simplifies to -2/5. That is your slope.

Now that we know this, we have solved for everything we need for writing the equation of the line. The equation of the line is:

y = (-2/5)x - 2

Method 2 -:

This method is a bit easier but will still give you the same result. Since you already know the y-intercept as -2, you know the value of b. You also have atleast one point so you can just plug it into the equation y = mx + b.

Now you can just plug in a point for x and y. We also know the x-intercept and that might be easier to use for solving. The x-intercept is (-5,0) and we can plug this into the equation to get 0 = m(-5) + (-2). We can now rewrite this as 0 = -5m - 2.

The next thing we do is solve for x:

0 = -5m - 2

2 = -5m

-2/5 = m

Now we know that m = -2/5, we can put this into the equation along with the y-intercept to get our answer.

y = (-2/5)x - 2

You might be interested in

Please help with this question. Thanks.

Kipish [7]

Answer:

FJH is an obtuse angle, so it is automatically larger than 90. Answer is D.

6 0

4 years ago

Find the product of the given polynomials. (5x + 8 – 6r) (4 + 2r – 7)

Inessa05 [86]

Answer:

-12r² + 10xr - 15x + 34r - 24

Step-by-step explanation:

1. Organize it, variables first - as well as adding constants such as 4 and -7

(5x - 6r + 8) (2r - 3)

2. Start by multiplying the 5x by (2r - 3), then -6r, followed by 8

(10xr - 15x) + (-12r^2 + 18r) + (16r - 24)

3. Simplify

10xr - 15x - 12r² + 18r + 16r - 24

4. Order by greatest to smallest factorial

-12r² + 10xr - 15x + 18r + 16r - 24

5. Combine like variables

-12r² + 10xr - 15x + 34r - 24

6 0

3 years ago

Graph the line for y+1=−3/5(x−4) on the coordinate plane. Move Line Undo Redo Reset

dsp73

Answer:

The equation of line is shown below.

Step-by-step explanation:

The equation of line is

$y+1=\frac{-3}{5}(x-4)$

It is the point slope form of a line, therefore the slope of the line is $\frac{-3}{5}$ and the line passing through (4,-1).

Rewrite the above equation in slope intercept form.

$y=\frac{-3}{5}x+\frac{12}{5}-1$

$y=\frac{-3}{5}x+\frac{12-5}{5}$

$y=\frac{-3}{5}x+\frac{7}{5}$

The point slope form of a line is

$y=mx+b$

Where m is the slope and b is y-intercept.

Therefore the slope of the line is $\frac{-3}{5}$ and the y-intercept of the line is $\frac{7}{5}$ .

Slope is defined as

$m=\frac{Rise}{Run}$

Since the slope is negative, therefore the run of the line is considered on the left side. The line rise by 3 and run by 5, therefore we will add 7 in y and subtract 5 from x.

The y-intercept is $(0,\frac{7}{5})$ .