The graph of a line on a coordinate plane has a slope of 1/2 and passes through the point (4, -3). Which equation describes the line?

Step-by-step explanation:

Since we are given a point and a slope, we should use the point-slope equation.

where m is the slope and (x₁, y₁) is the point the line passes through.

We are given the slope of 1/2 and the point (4, -3). Therefore:

Substitute the values into the formula.

Distribute the 1/2. Multiply each term inside the parentheses by 1/2.

We want to the equation of the line in slope-intercept form or y=mx+b. We need to isolate y. 3 is being added and the inverse of addition is subtraction. Subtract 3 from both sides of the equation.

The equation of the line is y=1/2x-5

d) 48

step-by-step explanation:

16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,272,288,304,320,336