Answer:
y = 5x + 11
Step-by-step explanation:
We are given that a line passes through (-2, 1) and also it contains a slope of 5
We want to write the equation of this line in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y axis
As we are already given the slope, we can immediately substitute it into the formula
Replace m with 5 in y=mx+b:
y = 5x + b
Now we need to find b
As the equation passes through the point (-2, 1), we can use its values to help solve for b.
Substitute -2 as x and 1 as y:
1 = 5(-2) + b
Multiply
1 = -10 + b
Add 10 to both sides
11 = b
Substitute 11 as b in the equation
y = 5x + 11
Topic: finding the equation of the line
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