SOLUTION: The line has gradient −2/3. The y-intercept is (0, 3). Use the gradient to and the y-coordinate on the line where: i) x=6 ii) x=9 What will be the x-intercept? What

Algebra ->  Linear-equations -> SOLUTION: The line has gradient −2/3. The y-intercept is (0, 3). Use the gradient to and the y-coordinate on the line where: i) x=6 ii) x=9 What will be the x-intercept? What       Log On


   



Question 1106377: The line has gradient −2/3. The y-intercept is (0, 3).
Use the gradient to and the y-coordinate on the line where: i) x=6 ii) x=9
What will be the x-intercept?
What would be the x-intercept if the gradient was changed to:
i ) −1/2 ii) −5/4 iii) −7/3 iv)-2/5

Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
y=-%282%2F3%29x%2B3

lety=0.
-2x%2F3%2B3=0
-2x%2F3=-3
x=3%2A%283%2F2%29
x=9%2F2=4%261%2F2


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Use the gradient to and the y-coordinate on the line where: i) x=6 ii) x=9
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You could make the graph and read the points from the graph or you can use algebra or arithmetic. If you choose to use a graph, slope means ratio of vertical change to horizontal change.

(i)
y=-%282%2F3%29%2A6%2B3
y=-2%2B3
y=1

(ii)
y=-%282%2F3%299%2B3
y=-6%2B9
y=3