Answer:
y = 2x + 7
Step-by-step explanation:
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept (hence the name slope-intercept form).
You are given the slope and a point that the line goes through, so the best equation for a line to use is the point-slope form (why? because the name says POINT-SLOPE so that means if you have a point and a slope then this would be the ideal equation).
Point-slope form is y - y1 = m(x - x1). In this form you will be plugging the x and y coordinates of the point into y1 and x1, and plugging the slope in for m.
Substitute in the given slope and point into the point-slope form.
y - y1 = m(x - x1) ⇒ y - (1) = 2(x - (-3))
Take away the parentheses and simplify.
y - 1 = 2(x + 3) ⇒ y - 1 = 2x + 6
Add 1 to both sides of the equation.
y = 2x + 7 is your answer in slope-intercept form (y = mx + b).
