+0

# Help!

0
51
3

What ordered pair is a solution to this equation?

𝑦 = −𝑥 + 10

A line passes through (1,6) and (4,4)

What is the slope of the line?

Point (2,10); Slope 4.  Write an equation for the line?

Guest Oct 4, 2017

#1
+4711
+2

To find an ordered pair, pick any number you want, plug it into the equation for  x  or  y , and solve for the other variable. I pick  0  for  x.

y   =   -x + 10   =   -0 + 10   =   10

When  x = 0 ,  y = 10  . So an ordered pair is  (0, 10) .

----------

slope  =  $$\frac{\text{change in y}}{\text{change in x}}\,=\,\frac{y_2-y_1}{x_2-x_1}\,=\,\frac{4-6}{4-1}\,=\,-\frac{2}{3}$$

----------

The point slope form of the line is:

y - 10  =  4(x - 2)      This equation is correct as it is, but do you need it in slope-intercept form?

hectictar  Oct 4, 2017
Sort:

#1
+4711
+2

To find an ordered pair, pick any number you want, plug it into the equation for  x  or  y , and solve for the other variable. I pick  0  for  x.

y   =   -x + 10   =   -0 + 10   =   10

When  x = 0 ,  y = 10  . So an ordered pair is  (0, 10) .

----------

slope  =  $$\frac{\text{change in y}}{\text{change in x}}\,=\,\frac{y_2-y_1}{x_2-x_1}\,=\,\frac{4-6}{4-1}\,=\,-\frac{2}{3}$$

----------

The point slope form of the line is:

y - 10  =  4(x - 2)      This equation is correct as it is, but do you need it in slope-intercept form?

hectictar  Oct 4, 2017
#2
0

Guest Oct 4, 2017
#3
+4711
+1

Okay...   We need to get   y - 10  =  4(x - 2)   into the form: y  =  mx + b  .

y - 10  =  4(x - 2)          Add  10  to both sides of the equation.

y  =  4(x - 2) + 10         Distribute  4  to each term in parenthesees.

y  =  4x - 8  + 10          Combine the  -8  and  10  to get  2 .

y  =  4x + 2

hectictar  Oct 4, 2017

### 25 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details
{"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}