Find an equation of the line which passes through the point (4,-7) and has slope 3.
Hi! To solve this problem, you must be really familiar with the Point-Slope form. Point-slope form is: y-y1=m(x-x1) where m represents the slope (3 in this case), y1 represents the y-point for the coordinate (4,-7). so y1 is -7 and x1 represent the x-point for coordinate (4,-7). so x1 is 4. Plug those variables into the equation and you get y+7= 3(x-4). That can be left as your final answer. However, if asked for y equals form, you must solve for y.
4x -4 = 12 : Solve for X
To begin this problem lets set our goal for this: We want to solve for X! any ideas? Well, the first step is to add 4 to both sides. this leaves you with 4x=8. Then to isolate the X, we must divide 4 into both sides. this then gives you x is equal to 2
The graph of the equation y = 4 has no x-intercept. (True or False)
True! To begin, the best idea is to graph the function. If it helps, writing a table is ideal so that it helps you gather the points you need to plot. The first x value to plug in is 0. But wait! there is no X in the equation. So, if given an equation Y equal to a constant (number) this means that at every X value, Y is that constant. So what this means in this case that y = 4: at 0 y is equal to 4. (0,4), (1,4), (2,4). It's a horizontal line and does NOT cross the x-axis, thus it does not have an x-intercept!