if the gas prices was say was .90 a gallon in 1950 and the prices now are 3.00 a gallon how would you write an equation to show the increase I am needing to graph this so i need a slope i think can anyone explain this please

There is no need to plot a graph for the slope. You have two points
X1=1950, y1=0.90
X2=2007, y2=3.00

gradient, m=(y2-y1)/(x2-x1)

This assumes a straight line. The equation of the line is
y=mx+c

If you need the equation as well, substitute one of the points [(x2,y2) or (x1,y1)] and m into the equation and find c.

what would be an equation if a person weigh 350 lbs and lost 20lbs a month and her weight now is 150 how would you write this as an equation

350=m*20+150

Yes, that works, where m is the number of months.

Might be clearer (?) as

350-m*20=150

how would i graph this to show the lose of weight within a twelve month period

y=mx+b
m being the slope would that be the 12 months

y being the start weight and x being the amount of weight lost

To graph the weight loss over a twelve-month period, you can use the equation y = mx + b, where y represents the weight, x represents the number of months, m is the slope (representing the rate of weight loss per month), and b is the y-intercept (representing the initial weight).

In this case, the starting weight is 350 lbs, and the weight loss is 20 lbs per month. So the equation would be:

y = -20x + 350

To graph this equation, you can assign the x-axis to represent the number of months and the y-axis to represent the weight in pounds. Then, plot the points on the graph using the values of x and y from the equation.

For example, after 1 month (x=1), the weight would be y = -20(1) + 350 = 330 lbs. So plot the point (1, 330) on the graph. Continue this process for each month up to twelve months, and plot the corresponding points.

Once all the points are plotted, connect them with a straight line to visualize the weight loss progression over the twelve-month period.