graph the line that has a slope of $-\\frac{4}{3}$ and includes the point $(0,7)$. click to select points on…

graph the line that has a slope of $-\\frac{4}{3}$ and includes the point $(0,7)$. click to select points on the graph.

graph the line that has a slope of $-\\frac{4}{3}$ and includes the point $(0,7)$. click to select points on the graph.

Answer

Explanation:

Step1: Identify the y - intercept

The point ((0,7)) is the y - intercept (b = 7) of the line.

Step2: Use the slope formula (m=\frac{\Delta y}{\Delta x})

Given (m =-\frac{4}{3}), from the point ((0,7)), if (\Delta x = 3) (move 3 units to the right along the x - axis), then (\Delta y=- 4) (move 4 units down along the y - axis). So another point on the line is ((0 + 3,7-4)=(3,3)).

Step3: Plot the points and draw the line

Plot the points ((0,7)) and ((3,3)) on the coordinate plane. Then draw a straight line passing through these two points.

Answer:

Plot the points ((0,7)) and ((3,3)) and draw a line through them.