Question

Will the graph of the line represented by the table intersect the graph of y = 5x + 4? Explain.A table showing data of x and y as (-2,5), (-1,0), (0,5), (1,10) and (2,15) respectively.

Answer 1

Answer:

you'll need to identify the equation of the line represented in the table. By plugging in coordinates given in the table, it's possible to identify the slope and y-intercept of the line.

Which coordinates tell us the y-intercept of the line? Once the intercept value is identified, it's possible to determine the slope using y = mx + b and plugging in values for b, x, and y. The y-intercept is represented by b. The x and y can be replaced with any of the values in the table.

Alternatively, the slope formula (Δy / Δx) can be used to determine slope.

Once the equation is identified, it will be possible to tell if the lines intersect.

If they have the same slope and different y-intercepts, they will be parallel.

If they have the same slope and the same y-intercept, they will lie on top of each other.

If they have different slopes and different y-intercepts, they will meet at a point.

If they have different slopes and the same y-intercept, they will meet at a point.

Step-by-step explanation:

Answer 2

Answer:

you'll need to identify the equation of the line represented in the table. By plugging in coordinates given in the table, it's possible to identify the slope and y-intercept of the line.

Step-by-step explanation: