Answer: I tried looking it up but I couldn't find anything, but I woud try typing in "4.1 Practice B (Whatever math that is) big ideas math blue answer key" and see if that works. Hope that helps:)
For the first 6, you’re doing “slope intercept form” you will need to draw a graph and graph it like so... question (3) : you place your y intercept on the graph first, meaning ( negative 2) is your y intercept, and in questions 4, (4) is your y intercept. after placing negative 2 on the negative side of the graph at (-2), you will then need to take the point from negative 2, and use your slope, meaning (2 over 3). The number below the line, (denominator) but as used in this equation, the (X axis) you will go across on your graph. not up or down, left or right, depending on whether your slope is negative or positive, which in this case is positive, so you will be going to your right (—>) 3 TIMES. once you’ve moved your point to the right three times, you DO NOT place a point. You then take the other part of the slope (2) because it was (2 over 3) ( and you work with denominators first), you go UP TWICE. (two times). then you place your point there. when you are finished you should have TWO points, and once you connect those points, you get a line segment, which you have to continue because you DO NOT want a SEGMENT you want a WHOLE LINE, meaning it should be past the two points connected, and it shouldn’t stop at them. hope that helped!!!
The length of the new line, between the given point and the newly-found intersection point, is the distance between the point and the original line. To find the distance, subtract the x and y values to get the x and y displacements. Therefore, there is no specific equation!
We know that the midpoint is the a point in the center of the line (r). This means that from the midpoint to the endpoint (qr) is half the length of the overall line. This means that 5.7 (the length of qr) units is half the length of the line. Two halves make a whole so 5.7 × 2 = 11.4 units as the length of the entire line qs. Hope this helps!