Question Graph a line with a slope -3 passing through the point (2,-4). The slope (gradient) is stated as a single value so this is a straight line graph Determined by the equation of the line y=mx+c

Question

Graph a line with a slope -3 passing through the point (2,-4)

Answer

The slope (gradient) is stated as a single value so this is a straight line graph

Determine the equation of the line

=-3

Let the given point be P1→(x1,y1)=(2,−4)

Using the equation of a straight line

Y= mx + C

Find the Value of C Using the points given that is P1→(x1,y1)=(2,−4)

Y= mx + C

-4 = -3 (2) + C

C= 2

The equation is then y=-3x+ 2

Plotting the Line in a line graph, find the equivalent y values for given set x values

X Values

Y values

-4

-2

The corresponding y values are as follows

X Values

Y values

-4

14

-2

-4

-10

-16

Thereafter we plot the graph as shown below