a line passes through the point (-7,-4) and has a slope of 3 write an equation for this line
To write the equation of a line, we can use the point-slope form. The point-slope form is given as:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line and m is the slope of the line.
In this case, the given point is (-7, -4) and the slope is 3. We can substitute these values into the point-slope form:
y - (-4) = 3(x - (-7))
Simplifying:
y + 4 = 3(x + 7)
Next, we can distribute the 3 to both terms inside the parentheses:
y + 4 = 3x + 21
Finally, we can rearrange the equation to get it in the standard form:
y = 3x + 21 - 4
y = 3x + 17
So, the equation of the line that passes through the point (-7, -4) with a slope of 3 is y = 3x + 17.
y-(-4). 3(x-(-7))
y + 4 = 3x + 21
y + 4-4 = 3x +21-4
y = 3x +14