5, of course!
y = 3x + 1 is a linear equation - it is the equation for a graph of a straight line that crosses the y axis at 1 and the x axis at -1/3, and has a gradient (slope) of 3.
The one which shows a straight line with a positive gradient of 3 and crossing the y axis at 2.
The equation y = mx + b is the equation for a line in slope intercept form, with m being the slope, and b being the y-axis intercept.
In this case, the discriminant is less than zero and the graph of this parabola lies above the x-axis. It never crosses.
This is an equation of a straight line. There is no 'one solution' for x and y. The line will cross the y-axis at y = 6, and the slope is -3.
when x = -0.25
5, of course!
at y=6.Make x==0 // then you get the y interceptthen y=0+6solve for y, y=6
Yes, it crosses at (0.23,0) and (1.43,0).
It is the line obtained by joining the following points ----->>> (3,0) on x axis and (0,3) on y axis This line is tilted to 45 degrees from negative x axis.
Zero, the line is parallel to the x-axis at a distance 4+3 = 7
It is: y = -7 which is a straight line parallel to the x axis
It is a horizontal line, three units below the x-axis.
rearrange: y = 3x - 3, which crosses the x-axis when y = 0, ie when x = 1
None, it touches it at x = -3.For a quadratic y = ax2 + bx + c, it will meet the x-axis (y = 0) either 0, 1 or 2 times dependent on: b2 - 4ac. If b2 - 4ac is:> 0 the line meets the x-axis twice, so crosses it twice= 0 the line meets the x-axis once, so it does not cross it but only meets it.< 0 the line does not meet the x-axis at all, so cannot cross it.for y = x2 + 6x + 9:b2 - 4ac = 62 - 4 x 1 x 9= 36 - 36= 0so the line meets the x-axis once, but does not cross it - all the values of y are greater than, or equal to zero, but never negative.
Line of symmetry: x = 3