4.1 exit ticket

Question

write the equation of the line in slope intercept form that has a slope of -7 and a Y intercept of 3

Answer 1

Hi Loni D.,

Slope intercept form is y = mx + b, where m is the slope and b is the y-intercept.

We are given the slope of -7 = m, and the y-intercept of 3 = b.

We can substitute these numbers into the slope intercept form equation:

y = mx + b;

y = -7x + 3;

We could of also have found this by knowing the point (0, 3) is the y-intercept and with slope m = -7, then use the point-slope equation to solve, with (x₁, y₁) = (0, 3):

y - y₁ = m*(x - x₁);

y - 3 = -7*(x - 0);

y - 3 = -7x;

y = -7x + 3

I hope this helps, Joe.

Answer 2

Slope intercept form is defined as y = mx + b where m is the slope and b is the y-intercept.

Plugging in the information given from the problem would result in the following equation:

y = -7x+3

Hope this helps!