A straight-line graph • has gradient 4 • crosses the y axis at (0, −3). Write down the equation of the graph.

Question

asked Nov 12, 2022 198k views

1 Answer

Tassadaque · Answer 1 · 2022-11-18T08:34:29+0000

Given:

A straight-line graph has gradient 4 and crosses the y axis at (0, −3).

To find:

The equation of the given graph.

Solution:

The slope intercept form of a line is:

y=mx+b ...(i)

Where, m is the slope of the line and b is the y-intercept.

A straight-line graph has gradient 4. It means the slope of the line is 4.

m=4

Line crosses the y axis at (0, −3). So, y-intercept is -3.

b=-3

Putting m=4 and b=-3 in (i), we get

y=(4)x+(-3)

y=4x-3

Therefore, the equation of the given line graph is
.