This is about understanding equation of a straight line.
Fourth Graph is the correct one.
- The formula for equation of a straight line is given as;
y = mx + c
where;
m is the slope
c is the y-intercept which is the value of y when x = 0.
- We are given the equation;
y = (3/4)x − 3
Comparing this with the general equation of a straight line, we have;
c = -3
Thus, the y-intercept = -3
- x-intercept will occur when y = 0. Thus;
0 = (3/4)x − 3
add 3 to both sides to get;
3 = (3/4)x
Multiply both sides by 4/3 to get;
x = 4
Thus, x-intercept = 4 and y-intercept = -3
- The only graph that has its x and y intercept same as what we have calculated is the fourth Graph in Option D
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