Q. Draw a graph of the line that contains the g has the given slope.(0,3):m=−2
Identify slope and y-intercept: Identify the slope and y-intercept from the given information. The slope m is −2, and the y-intercept b is 3, as the line passes through (0,3).
Use slope-intercept form: Use the slope-intercept form of a line equation, y=mx+b. Substitute m=−2 and b=3 into the equation. y=−2x+3.
Find points using slope: To draw the graph, start at the y-intercept (0,3). From this point, use the slope to find another point. Move down 2 units and right 1 unit to reach the point (1,1).
Plot points and draw line: Plot the points (0,3) and (1,1) on a graph. Draw a straight line through these points to represent the line y=−2x+3.