Write the equation of a line that has a slope of 3 and passes through the point (5, 7). O y = 3x + 8
O y = 5x + 7
O y = 3x - 8
O y = 7x + 5

y = 3x - 8    

Step-by-step explanation:

All the options are written in slope-intercept ( ) form. So, what we can do with the given information is write the equation in point-slope form first, then convert it to slope-intercept form.  

1) First, use the point-slope formula to find the point-slope equation of the line. Substitute , , and for real values.

Since represents the slope, substitute 3 in its place. Since and represent the x and y values of one point the line intersects, substitute the x and y values of (5,7) into the appropriate places in the formula as well. This gives the following equation of the line in point-slope form:  

2) Now, isolate y in the above equation to find its slope-intercept form.

Thus, the answer would be the third option as it matches the result we received.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are