I have to find the slope using {0,7}, {-4,2} to write an equation in slope-intercept form. Can someone check my work?
2 - 7 5
m = ———— >>> m = - ————
-4 - 0 4
Notice by looking at your post, that it is very hard to write out fractions
in our format, use this instead:
slope = (7-2)/(0-(-4)) = 5/4
so the equation must be y = (5/4)x + b
but we can see from the point (0,7) that the y-intercept is 7
so ...... y = (5/4)x + 7
Your teacher is using (y2 - y1)/((x2-x1)
thus your numbers are correct.
Reiny will get the same result but his work looks a bit different. Both are 100% correct, it is whichever you are most happy with : )
Wouldn't slope = (y2-y1)/(x2-x1)?
I understand. Thanks Reiny and Ms Pi_3.14159265358979 for the help. :)
To find the slope of a line using two points, you can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Let's plug in the values from the given points:
(x1, y1) = (0, 7)
(x2, y2) = (-4, 2)
Substituting these values into the formula, we get:
m = (2 - 7) / (-4 - 0)
m = -5 / -4
m = 5/4
So the slope (m) is 5/4.
Now, to write an equation in slope-intercept form (y = mx + b), you have the slope (m) and a point (0, 7). We can substitute these values into the equation and solve for the y-intercept (b).
Using the point-slope form: y - y1 = m(x - x1), we have:
y - 7 = (5/4)(x - 0)
y - 7 = (5/4)x
y = (5/4)x + 7
So the equation in slope-intercept form is y = (5/4)x + 7.
Now, you can check your work by substituting the given points into the equation and see if they satisfy it.