Answer:
y = 5x - 2
Explanation:
The equation at the bottom is already in slope-intercept form, or y = mx + b format. It lacks one missing piece: b, or the y-intercept. However, the slope of the equation must be 5, because the number in place of the m equals the slope.
So, use the point-slope formula
, and substitute
,
, and
for real values. From there, we can isolate y to receive the full equation in slope-intercept form.
Since m represents the slope, substitute 5 in its place. Since the
and
represent the x and y values of a point the line intersects, choose any of the points provided and substitute its values into the formula. (Either one is fine, and I chose (1,3).) From there, isolate y to find the slope-intercept form and answer:
![y-(3) = 5 (x-(1))\\y - 3 = 5(x-1)\\y - 3 = 5x -5\\y = 5x - 2](https://img.qammunity.org/2022/formulas/mathematics/high-school/w54mry6zhwms7fmyt9v1luvuvaqymvsc7q.png)