All categories

3 years ago

Write the equation, in slope-intercept form, of the line that has a slope of 2 and passes through the point (3, 1).

Mathematics

1 answer:

NeX [460]3 years ago

4 0

General equation of a line;
y=mx+c
m=2
y=2x+c
Replacing for;
y=1
x=3
1=2*3+c
c=-5
y=2x-5

You might be interested in

Find the surface area and volume of the following figures.

Oduvanchick [21]

White figure Area = 128 $\pi$

White surface area = appro. 301

Yellow area = 320 $\pi$

Yellow Surface area = approx. 653

Area found with = 2πrh+2πr2

Surface Area found with = 2πrh+2πr2

You need to memorize them for tests

Hope that helped!!! k

4 0

4 years ago

Read 2 more answers

SOMEONE HELP ME LIKE ASAP THIS IS DUE AT 1:50pm

Marysya12 [62]

Answer:

4 i think

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

With slope –1/4, passing through (-4, -1)

True [87]

Answer:

$y = -\frac{1}{4}x - 2$

Step-by-step explanation:

i'm not sure if you're trying to find the equation of the line ?? but i'll assume that's the case and find the slope-intercept form equation of the line.

slope intercept form is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept. since the slope is already identified, you can plug in $-\frac{1}{4}$ for $m$ .

$y = mx + b$ ⇒ $y = -\frac{1}{4}x+b$

plug in the $x$ and $y$ values from the coordinate pair that passes through the line, which is (-4, -1). you can start with either $x$ or $y$ , but i'm going to start with $x$ .

first, plug in $-4$ for $x$ .

$y = -\frac{1}{4}x+b$ ⇒ $y = -\frac{1}{4}(-4)+b$

now plug in $-1$ for $y$ .

$y = -\frac{1}{4}(-4)+b$ ⇒ $-1 = -\frac{1}{4}(-4)+b$

after plugging in all of the given values, the equation is now $-1 = -\frac{1}{4}(-4)+b$ , in which you need to solve for $b$ .

now it's time to solve! begin by multiplying $-\frac{1}{4}(-4)$ in order to simplify the right side of the equation.

$-\frac{1}{4}(-4) = 1$

you now have $-1 = 1 + b$ . subtract 1 from both sides of the equation. on the right side, it cancels itself out, leaving you with $b$ . on the left side of the equation, you now have $-1 - 1$ , which equals $-2$ .

therefore $-2 = b$ , or $b = -2$ .

now that you've solved for your $b$ value, plug it into your initial slope-intercept form equation!

$y = -\frac{1}{4}x + b$ ⇒ $y = -\frac{1}{4}x - 2$

if you want to check to make sure that the values are correct, plug (-4, -1) into your completed slope-intercept form equation. as you did in the beginning, plug in $-4$ for $x$ and $-1$ for $y$ .