Question

Which statements accurately describe how to determine the y-intercept and the slope from the graph below?



To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation .

To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation .

To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation .

To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation .

Answer 1

its the 3rd one : To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation

this is because the equation is y^1 - y^2 / x^1 - x^2

Answer 2

Select one of the two bottom statements which both read "To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation ."

Explanation:

The y-intercept of a function is the point where the graph intersects the y-axis. Since the y-axis is the vertical line through the origin, we can start at the origin (0,0) and move up or down to where the line crosses the axis. This (0,y) point is the y-intercept. It is always (0,y) because it is located on the y-axis where x=0.

The slope of a function of a function is the rise/run or rate of change of the function. It can be seen on the graph of a line between any two coordinate pairs of the line. We know it as the variable m in linear function equations. To find it using an equation, we chose the point-slope form y
`y_(2)-y_(1) = m(x_(2)-x_(1))`. We substitute two coordinate pairs from the line for
`(x_(1),y_(1) ) and (x_(2),y_(2))` to find the missing value m or slope of the line.