I just tried to help someone with the same problems. I hope this helps you
<span>By definition, lines are parallel if they have the same gradient (slope). Any horizontal line has a gradient of 0, so it is parallel to any other horizontal line</span>
Answer:
y = -2/3x + 6
Step-by-step explanation:
To find the slope, find how much y changes in proportion to x. Here, when x changes by 1, y changes by -2/3. So, the number before x is -2/3.
To find the y-intercept, we need to find what y will be when x is 0. Since we know that when x is 1, y is 16/3, and when x decreases by 1, y increases by 2/3. So, when x is 0, y is 16/3 + 2/3, which is 18/3, or 6.
Answer:
u-shaped; y-intercept (0,6); symmetrical with respect to the y-axis
Step-by-step explanation:
Given that y = 2x² + 6
The graph would be the shape of that of a parabola. It can be u shaped or n shaped depending on the value of the coefficient of a comparing with the standard equation y = ax² + bx + c. If a > 0, it is u shape and if a < 0, it is n shape.
For this question, since a > 0 it would be u shaped and the intercept can be gotten by putting x = 0.
Therefore y = 0² + 6 = 0
The intercept is at (0,6) and is symmetrical with respect to the y-axis
