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the equation of the line with
y-intercept 10 and x-intercept -8

Include instrucions Thanks soooo much!!

2007-05-02 08:54:15 · 7 answers · asked by Lucky 3 in Science & Mathematics Mathematics

7 answers

y-intercept of 10 means the point (0, 10)
x-intercept of -8 means the point (-8, 0)

You can find the slope (Gradient) now...

m = (10 - 0) / (0 - -8) = 10 / 8 = 5/4

Now use point-slope form to find the equation:

y - y1 = m (x - x1)
y - 0 = (5/4)(x - -8)
y = (5/4)(x + 8)
y = (5/4)x + 10

2007-05-02 08:59:13 · answer #1 · answered by Mathematica 7 · 1 1

Slope-intercept form is, like the 1st guy said, y=mx+b
b= the y-intercept
m= the slope
the y-intercept of 10 means that there is a point on the line that is (0,10).
the x-intercept of -8 means that there is a point on the line that is (-8,0)

You can plug these values into the equation for slope:
m= (Y2-Y1)/(X2-X1)
m= (10-0)/(0 - -8)= 10/8 = 5/4

Since the y-intercept is given, all you have to do now is plug into the equation y= mx + b, so your final answer becomes:
y= (5/4) x + 10

2007-05-02 09:07:39 · answer #2 · answered by Anonymous · 0 0

y - intercept = 10 is the ordered pair (0, 10)
x-intercept = -8 is the ordered pair (-8,0)

Find the slope of the line: m = (y2 - y1)/(x2 - x1) = (0 - 10)/(-8 - 0) = -10/-8 = 5/4

Use slope intercept form of the line: y = mx + b, where m is slope and b is the y-intercept.

So, y = 5/4*x + 10

2007-05-02 09:00:12 · answer #3 · answered by Anonymous · 0 0

First you have to find the slope.

There are 2 points given (x,y): (10,0) and (0,-8)

The slope is the change in Y divided by the change in X

Change in Y: -8 - 0 = -8
Change in X: 0 - 10 = -10
divide the two: -8/-10 = 4/5 = 0.8

SECOND, you must find the Y-intercept, but ha! that is given to you as: 10

Final form:
y = 0.8*x + 10

.

2007-05-02 08:59:12 · answer #4 · answered by tlbs101 7 · 1 0

so you know it crosses the x axis at -8, and the y axis at 10. so doing the change in y over the change in x gives you the slope of -5/4. So you apply the slope formulay y-y1=m(x-x1). you know the slope (m) x1, and y1. So solving for y you get y=-5/4x-10

2007-05-02 08:59:39 · answer #5 · answered by Cudnovati Kljunaš 2 · 0 0

slope-intercept form is this equation

y= mx+ b

2007-05-02 08:58:19 · answer #6 · answered by Anonymous · 1 0

First, graph it, then find slope. thats all i remember, sorry...

2007-05-02 09:00:15 · answer #7 · answered by Nick 2 · 0 0

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