[Pointy3018]

<< Find the coordinates of 2 points on the line with the given equation. Then use the points to find the slope of the line.y=2x+4 >>The coordinates of any point on the line should always satisfy the above given equation.To get two points, set x = 0 and x = 1 to get the corresponding values of y.For x = 0, y = 2(0) + 4 = 4For x = 1, y = 2(1) + 4 = 6So, your two points are as follows: (0,4) and (1,7)Slope of a line = m = delta y/delta x ORm = change in y-values/change in x-valuesTherefore, from the 2 points above, the slope ism = (6 - 4)/(1 - 0) = 2Slope = m = 2IMPORTANT NOTE: The general form of the equation of a straight line isy = mx + bwherem = slopeb = y-intercept (this is where the line crosses the y-axis)Compare your given equation,y = 2x + 4to the general form of a straight line equationy = mx + band note that m = 2 (which is the same value obtained using the 2 points determined above) and b =4.<< here's another one i don't understand hwo to do.y=-1 >>Go back to the definition of the slope which ism = delta y/delta xNote that y = -1 is a horizontal line and since sincd the value of y does not change (delta y = 0),m = slope = 0. << and another:x=3 >>slope = delta y/delta xWhen x = 3 (constant), then delta x = 0 (x does not change) and since slopem = delta y/0the slope is undefined since division by zero occurs.