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直线方程・斜率与截距基础

A line in the xy-plane has a slope of \( \frac{1}{9} \)  and passes through the point (0, 14). Which equation represents this line?
原库参考解析
Bluebook试题10 · 原库模块 2 · Q13作答 ↗
直线方程・斜率与截距基础

The function \( f \) is defined by \( f\left(x\right)=7x-84 \). What is the x-intercept of the graph of \( y=f\left(x\right) \) in the xy-plane?
原库参考解析
Bluebook试题10 · 原库模块 2 · Q20作答 ↗
直线方程・斜率与截距挑战

Line k is defined by \( y=\frac{17}{7}x+4 \). Line j is parallel to line k in the xy-plane. What is the slope of line j?
原库参考解析
Bluebook试题10 · 原库模块 3 · Q2作答 ↗
直线方程・斜率与截距进阶

Line k is defined by \( y=6x+4 \). Line j is parallel to line k in the xy-plane and passes through the point (0, 5). Which equation defines line j?
原库参考解析
Bluebook试题11 · 原库模块 1 · Q10作答 ↗
直线方程・斜率与截距进阶

题目图表
For the linear function g, the table shows four values of \( x \) and their corresponding values of \( g(x) \). The function can be written as \( g(x)=mx+b \) , where m and b are constants. What is the value of b?
原库参考解析
Bluebook试题11 · 原库模块 1 · Q14作答 ↗
直线方程・斜率与截距进阶

For a particular car, the linear function \( f \) gives the predicted power, in brake horsepower (bhp), for engine speeds between 1,000 revolutions per minute (rpm) and 6,000 rpm. According to this function, the car's predicted power is 433 bhp at an engine speed of 3,331 rpm and 600 bhp at an engine speed of 4,500 rpm. The equation \( f(x)=\frac{1}{7}(x-a)+433 \)  defines \( f \), where x  is the engine speed, in rpm, and a is a constant. What is the value of a?
原库参考解析
Bluebook试题11 · 原库模块 1 · Q21作答 ↗
直线方程・斜率与截距基础

For the linear function \( f \), the graph of \( y=f\left(x\right) \) in the xy-plane has a slope of 7 and passes through the point 0,5. Which equation defines \( f \)?
原库参考解析
Bluebook试题11 · 原库模块 2 · Q7作答 ↗
直线方程・斜率与截距进阶

In the xy-plane, line l passes through the point (0, 0) and is parallel to the line represented by the equation y = 8x + 2.If line l also passes through the point (3, d), what is the value of d?
原库参考解析
Bluebook试题1 · 原库模块 1 · Q21作答 ↗
直线方程・斜率与截距基础

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
Bluebook试题1 · 原库模块 2 · Q14作答 ↗
直线方程・斜率与截距基础

xy
018
113
28

The table shows three values of x and their corresponding values of y. There is a linear relationship between x and y. Which of the following equations represents this relationship?
原库参考解析
Bluebook试题1 · 原库模块 2 · Q17作答 ↗
直线方程・斜率与截距基础

In the linear function f,f(0)= 8 and f(1)=12.Which equation defines f?
原库参考解析
Bluebook试题1 · 原库模块 2 · Q20作答 ↗
直线方程・斜率与截距挑战

xf(x)
1-64
20
364

For the linear function f, the table shows three values of x and their corresponding values of f (x). Function f is defined by f(x) = ax+ b,where a and b are constants.What is the value of a - b?
原库参考解析
Bluebook试题1 · 原库模块 3 · Q19作答 ↗