Determine the equation of a line given (a) the line is parallel to 𝑦 = −3𝑥 + 1 and has the same 𝑦-intercept as 𝑦 = 𝑥 + 7

Answer 1

Since we want the line to be parallel to the line y=-3x+1 its slope must be equal to -3. Since we want the line to have the same y-intercept as y=x+7 it means that it must pass through the point (0,7). Hence, the desired equation is equal to y=-3x+7.