Please show me how to determine the equation of the straight line, with all the steps explained

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept. I'll be using question a to explain how to find the equation of a straight line graph.

To find the equation of a line, you would need:

① Gradient

② A coordinate

Let's identify the two coordinates given first.

They are (0,3) and (-3,0)

To find the gradient, use the formula below.

Thus, gradient of line

Subst. m=1 into the equation:

y= x +c

If the y-intercept is not given, you can substitute a coordinate into the equation to find the value of c.

However, it is already given for this question and you can see that the y-intercept occurs at y=3. Thus, c=3.

Hence, the equation of the line is y= x +3.

need more information

step-by-step explanation:

c: y > - 1/6x + 1

step-by-step explanation:

dashed line - meaning this < or > also not equal

solid line - meaning this < or > also equal

your answer is c because y > means up & it's shaded up, but y < means down

hope this ! : )