Answer:
The linear equation for the line with an x - intercept at (-2,0) and y-intercept at (0,-3) is found as
.
Explanation:
A condition is given that a line has an x- intercept at (-2,0) and y - intercept at (0,-3).
It is asked to find a linear equation satisfying the given condition.
Step 1 of 2
Determine the slope of the line.
The points of the intercepts of the line are given as (-2,0) and (0,-3). Next, the formula for the slope is given as,

Substitute -3&0 for
and
respectively, and 0&-2 for
and
respectively in the above formula. Then simplify to get the slope as follows,

Step 2 of 2
Write the equation in the slope-intercept form.
The slope-intercept form of a line is given as follows,
y=mx+b
The coordinates at the y- intercept is (0,-3). Now, as the y- coordinate is -3, so b=-3.
So, substitute -3 for b and
for m in the equation y=mx+b, and simplify to get the equation as follows,

This is the required linear equation.