I need to find both intercepts for x and y.
gives you the m for y=mx+b I have a lot more to do and don't understand this so please help with just one of these?
(-3,y), (-9, -2) m=1 I need help with this one to find both intercepts. can someone help me?
Added 3+ months ago:
can someone help me soon this is due in like 10 minutes
Responses (2)
Slope is rise over run. Run is horizontal distance, left to right. Run is always positive because we always go left to right. Rise is the vertical change in that same distance. A negative rise means it drops.
The equation of a line is y = mx where m is the slope. That line passes through the origin. If you want it to pass through some point (a, b) you subtract the coordinates like this: y - b = m(x - a). That is the point-slope form, and you can rewrite it in other forms if it is convenient. You may do this with any point on the line. They all reduce to the same equation.
Given m=1 and the point (-9, -2).
y + 2 = x + 9
y = x + 7 This is slope-intercept form. The y intercept is +7.
0 = x + 7 The x intercept is the solution when y=0.
x = -7
P( -9, -2) and m = 1 are given.
Apply the point-slope form
y - y1 = m (x - x1) :
y - (-2) = 1 (x - (-9))
y + 2 = x + 9.
In the slope-intercept form this looks like:
y = x + 7, where, for x = 0, y = 7, which is your y-intercept.
In the coordinate-form you would write it like this:
x - y = -7. But why should you bother? The x,y-intercept form is a special way to put the coordinate form:
x/x0 + y/y0 = 1. Apply this:
x/-7 - y/-7 = 1
x/-7 + y/7 = 1.
And now you can simply read the intercepts from the denominators:
x0 = -7, y0 = 7.