Slope-intercept: Find the slope (change in y / change in x) of the equation, and the y intercept (the point where the line crosses the x axis). y = mx + b, where m is the slope and b is the y-intercept.
To graph, draw a line through (0,b) with slope m.
Point-slope form: (y-b) = m(x-a), where m is the slope and (a,b) is a point the line passes through.
Find the slope, and then pick any point that lies on the line and substitute into (a,b). To graph, start at the point (a,b), and draw a line through that point with slope m.
Standard form: Ax + Bx = C. Example: 2x + 3y = 24 Notice that this form does not clearly include any points, the slope, or the intercepts. So how can we easily graph it? To graph a line written in standard form, you can simply draw a line between the y-intercept and the x-intercept. To find the y-intercept using our example. 2x + 3y = 24 y intercept is where x=0 0 + 3y = 24 y = 8 when x=0, y-intercept = (0,8) X-intercept, sae process but plugging in zero for y: 2x + 0 = 24 x = 12 To graph, simply draw a line that goes through (0,8) and (0,12)
Let x represent the amount Betty invested at 15%. The (2x+237) is the amount Betty has invested at 13%. Her total earnings are ... x*0.15 + (2x+237)*0.13 = 1688.03 0.41x + 30.81 = 1688.03 x = (1688.03 -30.81)/0.41 = 4042.00
Betty has $4042.00 invested at 15%. Betty has $237 +2*4042 = $8321.00 invested at 13%.
The two figures are congruent because dilation s used to map figure 1 onto figure two
What is dilation?
dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.
From the figure shown you can see that PQRS is dilated to produce EFGH since the shapes are similar in nature but the quadrilateral EFGH is an enlarged form of PQRS
Hence we can conclude that the two figures are congruent because dilation is used to map figure 1 onto figure two