5272道题目5525 条题源记录 · 相同内容已合并
直线方程・斜率与截距挑战
The graph of 7x +2y =-31 in the xy-plane has an x-intercept at (a ,0) and a y-intercept at (0, b), where a and b are constants. What is the value of \( \frac{b}{a} \) ?
原库参考解析
直线方程・斜率与截距挑战
Line l in the xy-plane is perpendicular to the line with equation x =2. What is the slope of line l ?
原库参考解析
直线方程・斜率与截距挑战

The table above shows the coordinates of three points on a line in the xy-plane, where k and n are constants. If the slope of the line is 2, what is the value of k + n ?
原库参考解析
直线方程・斜率与截距挑战
5x +7y =1
ax + by =1
In the given pair of equations, a and b are constants. The graph of this pair of equations in the xy-plane is a pair of perpendicular lines. Which of the following pairs of equations also represents a pair of perpendicular lines?
原库参考解析
直线方程・斜率与截距挑战
The line with the equation \( \frac{4}{5}x+\frac{1}{3}y=1 \) is graphed in the xy‑plane. What is the x-coordinate of the x‑intercept of the line?
原库参考解析
直线方程・斜率与截距挑战

The table gives the coordinates of two points on a line in the xy-plane. The y-intercept of the line is (k -5 , b ), where k and b are constants. What is the value of b ?
原库参考解析
直线方程・斜率与截距挑战

The point with coordinates (d , 4) lies on the line shown. What is the value of d ?
原库参考解析
直线方程・斜率与截距挑战
In the xy-plane, line k is defined by x + y =0. Line j is perpendicular to line k, and the y-intercept of line j is (0,3). Which of the following is an equation of line j ?
原库参考解析
直线方程・斜率与截距挑战
The graph of the equation ax + ky =6 is a line in the xy-plane, where a and k are constants. If the line contains the points (-2 , -6) and (0 , -3), what is the value of k ?
原库参考解析
直线方程・斜率与截距挑战

For line h, the table shows three values of x and their corresponding values of y. Line k is the result of translating line h down 5 units in the xy-plane. What is the x-intercept of line k?
原库参考解析
直线方程・斜率与截距挑战
In the xy-plane, line k intersects the y-axis at the point (0, -6) and passes through the point (2, 2). If the point (20, w) lies on line k, what is the value of w ?
原库参考解析
直线方程・斜率与截距挑战

The table above shows some values of x and their corresponding values f(x) for the linear function f. What is the x-intercept of the graph of y = f(x) in the xy-plane?
原库参考解析
