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Question 1203694: graph the line whose x-intercept is -2 and whose y-intercept is -6.
Found 3 solutions by math_tutor2020, josgarithmetic, Theo:
Answer by math_tutor2020(3817)   (Show Source):
You can put this solution on YOUR website!
Your teacher wants you to draw a line through the points (-2,0) and (0,-6).
They represent the x intercept and y intercept in that order.
Desmos and GeoGebra are two useful graphing tools that I recommend.
The equation of this line is y = -3x-6.
Answer by josgarithmetic(39617) (Show Source):
Answer by Theo(13342)  (Show Source):
You can put this solution on YOUR website! the slope intercept formula for a straight line is y = mx + b.
m is the slope.
b is the y intercept.
the formula for the slope is given as (y2 - y1) / (x2 - x1)
any two points on the line can be used.
the x-intercept is the value of x when y = 0.
you are given that the x-intercept is -2.
that means the point is (-2,0).
the y-intercept is the value of y when x = 0.
you are given that the y-intercept is -6.
that means the point is (0,-6).
your two poinjts are (-2,0) and (0,-6).
assign one of them to (x1,y1) and the other to (x2,y2).
either of the points can be assigned to either one of the constructs.
it doesn't matter.
the slope will be the same.
i'll assign two ways to show you what i mean.
first, i assigned (-2,0) to (x1,y1) and (0,-6) to (x2,y2)
slope = (y2-y1)/(x2-x1) = -6/2 = -3
next, i assigned (0,-6) to (x1,y1) and (-2,0) to (x2,y2)
slope = (y2-y1)/(x2-x1) = 6/-1 = -3
slope is -3 either way.
the slope is -3.
y = mx + b becomes y = -3x + b
to find the y-intercept, you need to replac4e x and y with any one of the points on the line and solve for b.
again, i'll do it using each point in turn.
first i used the point (0,-6).
y = -3x + b becomes -6 = -3 * 0 + b which becomes -6 = b.
solve for b to get b = -6.
next i used the point (-2,0).
y = -3x + b becomes 0 = -3 * -2 + b which becomes 0 = 6 * b.
solve for b to get b = -6.
y-intercept is -6 either way.
the equation becomes y = -3 * x - 6
the equation can be graphed as shown below.
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