graph each equation on a separate coordinate grid.

Question

y=3x
y=x+1
y=2x+3

Answer 1

The equation is y =3x.

Compare the equation with slope-intercept form y = mx + b.

slope = 3 and y-intercept is 0.

y-intercept is 0, so the line crosses the y-axis at (0, 0)

Using slope find the next point.

Slope = rise/run = 3/1

Start at point (0, 0), move 3 units up and 1 unit right, then plot the point (1, 3).

Draw a line through these points.

Graph :

The equation is y =x + 1.

Compare the equation with slope-intercept form y = mx + b.

slope = 1 and y-intercept is 1.

y-intercept is 1, so the line crosses the y-axis at (0, 1)

Using slope find the next point.

Slope = rise/run = 1/1

Start at point (0, 1), move 1 unit up and 1 unit right, then plot the point (1, 2).

Draw a line through these points.

Graph :

The equation is y =2x + 3.

Compare the equation with slope-intercept form y = mx + b.

slope = 2 and y-intercept is 3.

y-intercept is 3, so the line crosses the y-axis at (0, 3)

Using slope find the next point.

Slope = rise/run = 2 /1

Start at point (0, 3), move 2 units up and 1 unit right, then plot the point (1, 5).

Draw a line through these points.

Graph :