5x + 2y = 18 what is the slope- intercept form

Slope intercept form is y=-5/2x+9

Step-by-step explanation:

the y-intercept is −9 and the point is (0,−9)

the x-intercept is −3.6 and the point is (−3.6,0)

Explanation:

First, we find the slope and y-intercept

Now, the equation of a line is of the form

y=mx+c

Where,

m is the slope of the line and c is the y-intercept.

Let us write the given line in the standard form:

y=−5x2−82⇒y=−5x2−9

Comparing y=mx+c

to the given equation, y=−5x2−9

m=−52 and c=−9⇒Slope =−52and

y-intercept =−9

Next, we work out the

x-intercept.

the x-intercept is the point where the line cuts the x-axis. i.e. to find the point when y=0.

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.